When doing the Any% (Breakthrough) run with Goku it shows the WR with other characters if that run is faster. Is there any way we can update LiveSplit to showcase the different difficulties and characters?

Hmm.. I would just type the record in manually, the records don't get beaten too often. I think there are just too many sub categories in Budokai 3 that livesplit doesn't know how to distinguish between Very Easy and Z3 and such.

^ This is correct. Livesplits WR function isn't super reliable in general if a game uses subcategories instead of just main categories, so its best to just add information > text to your layout and type it in