Dictionary.Info gives you a list of all members in a particular family.

ops = Application.Dictionary.Info( '',"Operators").split(',')
print len(ops)
for op in ops:
	print op

For example, there are 592 operators in 2013 SP1 (and 585 in 2012 SP1).

# 592
#  RaiseNurbsCrvDegree
#  ExtrusionAlongAxis
#  4DVectorTo3DVectorNode
#  CreatePolygon
#  GetSetSumNode
#  deformbyspineop2
#  weighmapdeformbyspineop2
#  GetDistanceBetweenNode
#  MarkHardEdgeVertex
#  FCurveNode
#  BooleanSrfTopo
#  OldGenerateSampleSetNode
#  HipIcon
#  WeightPainter
#  DirectionToRotationNode
#  PropWeightMapBySpineOp
#  BaseRetargetOp
#  SkeletonUpVector
#  SkeletonPrefAxis
#  ReferenceToStringNode
#  BooleanSrfOp
#  RemoveNurbsCrvKnot
#  DeleteParticleOp
#  MergeDisjointVerticesNode
#  CenterManip
#  FillHole
#  SubtractNode
#  BlasterOp
#  NegateNode
#  CrvOffset
#  FourSided
#  DissolveComponent
#  Cap
#  3DVectorTo4DVectorNode
#  GetClosestPointsNode
#  FilterEdge
#  SubdivideEdge
#  MergePolygonNode
#  AnimationMarker
#  ExponentNode
#  Fixed Length Operator
#  AddEdge
#  SrfSwap
#  SrfDump
#  OffsetPolygons
#  ExtractPolygonsOp
#  SurfaceUVControl
#  Copy Shape Op
#  2DVectorNode
#  GetArraySizeNode
#  SortArrayNode
#  UpVectorDefiner
#  HairCutOp
#  DetachPolygonsOp
#  RotationToScalarNode
#  Birail2Contours
#  ToeGuide
#  GetSetMedianNode
#  4x4MatrixNode
#  Primitive Grid
#  Primitive Circle
#  Primitive Arc
#  Primitive Spiral
#  IntegerNode
#  NurbsCrvDeletePoint
#  HairScaleOp
#  HSVAToColorNode
#  ICETree
#  HLSAToColorNode
#  Primitive Cylinder
#  AreParallelNode
#  ManCharEyeOp
#  AddNode
#  VectorTo4x4MatrixNode
#  CrvDeform
#  ScalarNode
#  HairResampleOp
#  CompoundNode
#  SimulationStepNode
#  GetSetSizeNode
#  Primitive Square
#  Primitive Octahedron Operator
#  3x3MatrixNode
#  SRTToMatrixNode
#  MeshSubdivideWithCenter
#  PrimitivePreSimulationMarker
#  SrfOffset
#  SpeechBlendOp
#  TextToCurveListOp
#  SimpleIKRetargetOp
#  TextureOp
#  Quadrangulate
#  FrameStepNode
#  4x4MatrixToVectorNode
#  ChestBone
#  CopyGeo
#  PopFromArrayNode
#  SelectCaseNode
#  ColorNode
#  InvertPolygonNode
#  VertexColorChangeDatatype
#  MotionDerivator
#  FRBulgeNode
#  ExtractSubCrvOp
#  BipedRigSteppingAngle
#  ShapeNode
#  UndefinedLocationNode
#  GetClosestLocationNode
#  SplitPolygon
#  SetPositionNode
#  FingerBladeOp
#  CurrentTimeNode
#  SubdividePolygon
#  Surface curve adaptor
#  QStretch
#  3DVectorTo4x4MatrixNode
#  Primitive Disc
#  MatrixToSRTNode
#  RelaxUVW
#  UVToLocationNode
#  CrvPass
#  CrvExtract
#  SrfCrvShift
#  ReinterpretLocationToNewGeometryNode
#  CrvReparam
#  TangentOp_cpp
#  SubtractColorNode
#  SrfFit
#  PrimitiveMeshNode
#  MaximumNode
#  HairPopOp
#  ColorToGrayscaleNode
#  BooleanNode
#  MoveComponent
#  SCMFixer
#  SubdivideLocallyNode
#  MoveComponentProportional
#  BlobEncodeTestNode
#  PropVolume
#  GetDeterminantNode
#  CrvExtractSeg
#  GenerateSampleSetNode
#  MultiplyByScalarNode
#  CollapseEdgeNode
#  ScalarTo3DVectorNode
#  SplitEdge
#  HairMergeOp
#  SquaredLengthNode
#  TrigonometryNode
#  SparksOp
#  GetDataNode
#  SpringOp
#  Primitive Dodecahedron Operator
#  LengthNode
#  Loft
#  WeldPoints
#  QuaternionToAxisAndAngleNode
#  SortArrayWithKeyNode
#  TestBackcompNode
#  RemoveFromArrayNode
#  Loft
#  Extrusion
#  FourSided
#  PolyMeshPNet
#  CrvOffset
#  SrfOffset
#  SrfFillet
#  SrfIntersect
#  SrfMerge
#  FillHole
#  CrvFit
#  CrvExtract
#  Cap
#  CrvProject
#  CurveCreation
#  CrvNet
#  Birail
#  CrvFillet
#  CrvStitch
#  CrvMerge
#  CrvExtractSeg
#  ExtrusionTwoProfiles
#  SCMTopology
#  Revolution
#  BlendCrv
#  BlendSrf
#  CopyOp
#  GetArrayProductNode
#  FlexibleEnvelope
#  4x4MatrixTo3DVectorNode
#  SrfSubdivision
#  TangentOp2_cpp
#  ModuloNode
#  BooleanToIntegerNode
#  ClusterSimpleShapeCombinerOp
#  CollisionAvoidanceNode
#  HairGenOp
#  HairDynamicsOp
#  3x3MatrixToVectorNode
#  CrvSnap
#  TrimByProjection
#  SrfStitch
#  FRTugNode
#  VectorTo3x3MatrixNode
#  CurrentFrameNode
#  SCMFixer2
#  Lattice
#  RevolutionAlongAxis
#  FilterNode
#  Bulge
#  SetData
#  DelaySetDataNode
#  ImageCropOp
#  MultiplyVectorByMatrixNode
#  CrvPassByPoint
#  IsSingularNode
#  IntegerToBooleanNode
#  SetUserDataMapValueOp
#  SplitEdgeNode
#  BlobDecodeTestNode
#  CopyOp
#  LockEnvelopeWeights
#  CrvExtendTo
#  SrfClean
#  CrvFillet
#  CrvStitchToSrf
#  CrvStitch
#  CrvMerge
#  ExtendCrvToPoint
#  Surface To Surface Curve Adaptor
#  DicePolygons
#  AddVertexNode
#  CurveToCurvePointAdaptor
#  Modify Envelope Weight Prop Op
#  Skeleton Controller
#  BevelComponent
#  DeformBySpine
#  SimulateBulletRigidBodiesNode
#  RotationNode
#  First Bone Roll Division
#  Rotation Order
#  ConstrainCurveIsopoint
#  Revolution
#  SrfInverse
#  HairLockOp
#  CurveToCurveBoundaryAdaptor
#  LimitEnvelopeDeformersOp
#  HairSplitOp
#  GetArrayAverageNode
#  SetOneDataNode
#  InsertSrfKnot
#  RemoveSrfKnot
#  CrvProject
#  BlendNode
#  LogarithmNode
#  SrfFillet
#  EdgeDelete
#  ExtrudeComponent
#  AddEdgeNode
#  SimulateRigidBodiesNode
#  Spine Curve Operator
#  GetDataAtPreviousFrameNode
#  TriangulatePolygonNode
#  IntegerToScalarNode
#  Gator
#  SCMTopology
#  GetClosestPointToLineSegmentNode
#  First Bone Roll Division
#  MergeTopoArrayNode
#  ExtrudePolygonIslandNode
#  IsOnGeometryNode
#  ScalarToRotationNode
#  ExclusiveOrNode
#  DeleteComponent
#  ResizeArrayNode
#  DeletePointNode
#  GetAngleBetweenNode
#  SteppingAngle30Op
#  SymmetryMap
#  FlexibleEnvelopeAutoAssign
#  PropWeightMapBySpineOp
#  Snip
#  EditPolygon
#  GroupGeometryNode
#  CreateTopoNode
#  NurbsToMesh
#  Shear
#  GradientNode
#  HyperFlowOp
#  CameraTxt
#  PolyUVContourStretchingOnTopOp
#  BlendCrv
#  CustomOperator
#  ColorToHLSANode
#  QuaternionToRotationNode
#  FRLiftNode
#  SplineGenOp
#  PolygonReduction
#  ImageSourceOp
#  AddPolygonNode
#  IfNode
#  SimulationMarker
#  ScalarTo2DVectorNode
#  GetMinimumInSetNode
#  InsertInArrayNode
#  LinearInterpolateNode
#  ArcTan2Node
#  StringFilePathNode
#  SnapFace
#  HairPuffOp
#  PrimToNonLocalMatCls
#  GetElementIndicesNode
#  SetClusterPropSizeOp
#  RepeatNode
#  DisconnectComponentNode
#  ParTypeClsGenOp
#  FindInArrayNode
#  Fold
#  OldGetGeometrySampleNode
#  PushOnArrayNode
#  Birail
#  TextureOp
#  SurfacePQ
#  Cluster
#  MotionIntegrator
#  PassThroughNode
#  Multiply Rotation Operator
#  Spring
#  Collapse
#  QuaternionNode
#  BridgePolygon
#  HairUnlockOp
#  SymmetrizePolygon
#  FlipUVW
#  SetUVPropPinInfoOp
#  ImageFXOp
#  GetSetOrNode
#  TurbulenceNode
#  RGBAToColorNode
#  ClonePointNode
#  GetSetAndNode
#  RotationToEulerNode
#  SimMotionDerivOp
#  CompareNode
#  PointIndexToLocation
#  MergeTopoNode
#  MapCompOp2
#  DisconnectComponent
#  BlendTransformNode
#  Copy Shape Op
#  GetGeometrySampleNode
#  MatchUVW
#  NXDynamicsOp
#  FlowFieldRenderOp
#  Push
#  SoftBodyOp
#  RaycastNode
#  FlexibleEnvelopeAutoAssign
#  OldNurbsCrvDeletePoint
#  SlicePolygons
#  VertexColorPainter
#  PolyMeshPNet
#  BuildArrayFromConstantNode
#  AbsoluteValueNode
#  Cls Shape Combiner Op
#  ModelingMarker
#  CrvInverse
#  SrfShift
#  CrvShift
#  OffsetComponents
#  ExtractEdgeLoopOp
#  TurnEdgeOp
#  Fore Arm Roll Division
#  LogValuesNode
#  AddPointNode
#  IDToLocation
#  ExtrudeComponentAxis
#  SetEdgeCreaseValueOp
#  GetSetAverageNode
#  Primitive Tetrahedron Operator
#  SrfOpenClose
#  MixerOp
#  CloneTopoNode
#  Bend
#  Taper
#  ReserveArrayNode
#  Surface To Boundary Curve Adaptor
#  NormalizeNode
#  Fracture
#  Primitive Text
#  InvertNode
#  RotationToQuaternionNode
#  InitializeNode
#  SlicePolygonNode
#  PrimitivePostSimulationMarker
#  DeletePolygonNode
#  ClothOp
#  ShapeJitter
#  DotProductNode
#  SrfPass
#  MapAdaptOp
#  Spin
#  SplineDynamicsOp
#  Primitive Icosahedron Operator
#  Primitive Sphere
#  Extrusion
#  DivideByScalarNode
#  FilterPolygon
#  OLD Cache On File --REPLACEME
#  TestNode
#  InvertPolygon
#  Primitive Cone
#  Primitive Cube
#  QuaternionToScalarNode
#  CacheDataNode
#  PrimaryShapeMarker
#  MeshMerge
#  ICETreeComment
#  3DVectorNode
#  PaintWeight
#  WeightMap
#  SrfMerge
#  AddPointToMiddleOfCurve
#  GetArrayMaximumNode
#  Connector_Head
#  DieNode
#  DogLeg
#  CombineLogicNode
#  4DVectorNode
#  CrvClean
#  CrvOpenClose
#  PostSimulationMarker
#  Smooth
#  WeldEdges
#  CrossProductNode
#  Spine PointAt Operator
#  SrfIntersect
#  ShrinkWrap
#  QuadrupedGuideOp
#  WMCnxOp
#  DeformHairAdaptor
#  Revolution
#  Extrusion
#  ProjectVectorNode
#  SrfDeform
#  TransposeNode
#  Connector_L
#  InsertNurbsCrvKnot
#  BlowUpOp
#  ClusterCenter
#  NotNode
#  CurveKnotAlignTangent
#  CurveListToMesh
#  AddColorNode
#  ScalarTo4DVectorNode
#  CrvFit
#  MapCompOp
#  SrfCrvInverse
#  Softimage
#  FacialSoftTissueOp
#  GetArraySubIndicesNode
#  EvolveOp
#  HairClumpOp
#  HairAttenuateOp
#  BlendSrf
#  ScriptedOpHost
#  AddParticleOp
#  QuaternionToEulerNode
#  Heal
#  MinimumNode
#  MeshSubdivide
#  SrfReparam
#  FRSkullUVsToPtLocsNode
#  CustomNode
#  Proportional
#  Connector_T
#  PointInVolumeNode
#  ArePerpendicularNode
#  RotateVectorNode
#  BBoxCns
#  ColorToRGBANode
#  PolyUVContourStretchingOp
#  SpinEdge
#  CompoundNode
#  Connector_Box
#  LocalTextureOp
#  GetClosestPointToLineNode
#  PropertyXferOp
#  3DVectorToScalarNode
#  StringFilePathSequenceNode
#  ScalarToQuaternionNode
#  HairCombOp
#  PrimitiveSimulationMarker
#  BasicCollideNode
#  ExecuteNode
#  CurveCreation
#  SecondaryShapeMarker
#  CrvNet
#  SetInArrayNode
#  MultiplyColorByScalarNode
#  PropWeightMapBySpineOp
#  ClsKeyWeightMapOp
#  EulerToQuaternionNode
#  QuatSpineOp
#  WhileNode
#  Weight Maps Mixer Op
#  GetActionSourceAtFrameNode
#  Noise
#  Wave
#  BallisticSim
#  VertexColor
#  Cage Deform Auto Assign
#  CycleUVW
#  Proportional
#  GetArraySumNode
#  InstanceShapeNode
#  DynamicsOp
#  EdgeAdd
#  FlowFieldOp
#  BuildArrayNode
#  PolyUVPackingOp
#  ExtrudeComponentNormal
#  SelectInArrayNode
#  RescaleNode
#  CacheOnFileNode
#  RotationToAxisAndAngleNode
#  DeleteVertexNode
#  ColorToHSVANode
#  AddToClsOp
#  Twist
#  IslandHealUVWOp
#  SimulateParticlesNode
#  MultiplyNode
#  AxisAndAngleToQuaternionNode
#  HealUVW
#  2DVectorToScalarNode
#  FirstValidNode
#  SwitchContextNode
#  TangentOp2_cpp
#  StringNode
#  GetArrayMinimumNode
#  ClusterToObj
#  RoundNode
#  GetMaximumInSetNode
#  Primitive Torus
#  HairRotateOp
#  FilterPoints
#  FRSkinNode
#  RandomValueNode
#  CrvDump
#  DeleteTrim
#  PolygonAdd
#  ClampNode
#  Randomize
#  CageDeform
#  MeshLocalSubdivision
#  
#  MeshSrfDeletePoint
#  TopoTransformNode
#  CopyUVW
#  SquareRootNode
#  HairShatterOp
#  SetNurbsCrvKnotMultiplicity
#  HairRecombOp
#  AxisAndAngleToRotationNode
#  EulerToRotationNode
#  BuildArrayFromSetNode
#  ColorToBrightnessNode
#  BlendColorNode
#  4DVectorToScalarNode
#  QuaternionInterpolateNode
#  syCollidePla
#  syZipper
#  POXSI
#  syWind
#  syProperties
#  syCollide
#  syMimic
#  syCache
#  syVolume
#  syTurbulence
#  sySpring
#  syPin
#  sySelfCollide
#  syPropertiesFlesh
#  syGravity
#  syDamp
#  syCloth
#  syPropertiesSkin
#  syNail
#  syAir
#  syCollideSph