There isn't really an object limit, but rather "How many objects can my device handle for any given target fps?" A phone might slow down at 5000, a high end computer might slow down at 100000.
Usually you worry about running out of vram long before any object count issues.
Animations generally don't mean anything. You are only rendering one frame of any animated object per frame anyways. Large animations have more to do with download size and video memory limitations.