FBX: rich pipeline
Animation, rigs, materials and scene data for DCC and engines.

FBX and OBJ are both mesh interchange formats, but FBX does much more. FBX carries animation, rigs and scene data for DCC and game pipelines, while OBJ is a simple, universal format for static geometry.
Animation, rigs, materials and scene data for DCC and engines.
Static geometry with MTL materials, read everywhere.
For the web, convert either to glTF / GLB.
Choose FBX when you need animation, rigs or full scene data inside Max, Maya, Unity or Unreal.
Choose OBJ when you only need static geometry exchange between rendering and DCC tools.
Neither FBX nor OBJ is ideal for the web; both are best converted to glTF / GLB for runtime delivery.
Convert FBX to glTF or OBJ to glTF depending on your source asset.