It's well-known that (especially in the TNG era), shots of ships and planets were frequently reused since they were expensive to create. Many matte paintings were reused with minor (or no) retooling, but especially the same shot of the Enterprise coasting along or banking or going to warp appears many times. I also imagine that establishing shots of DS9 are a likely candidate.
What is the single effects shot used the most times?
Fine print:
Usage in title sequences or in "last time on" sequences, or sequences representing the ostensibly same event (e.g. time loops, flashbacks) don't count. I'm asking about reuse of the shot for cost-saving reasons, not story reasons.
Also, it definitely need not be the entire final shot. New compositing, scaling, or altering speed of play, of the same original take is still reuse.
Finally, even though background star fields are reused like crazy, they are out of bounds. That would be too tedious and uninteresting.