http://psxeboots.com/pops-compatibility-list
1. First the obvious,
Dragon Quest 8 required
"impalerPSX" in order to boot when the eboot was built that was on psp, I have to verify it still boots on vita.
2. Braver Fencer Musashi the crash you describe also happens if you don't use
"Simple POPstation GUI 3.00 BETA" to build the eboot
Skull Monkeys for exampled needed about 3 bytes deleted in the boot sector, it appears the way these programs load the .ELF (executable) into memory, also serves as a patch.
Tales of Phantasia v1.1.1 did a patch somewhere, maybe in the boot sector to fix a game engine freeze. (Version 1.0 from the group that released v1.1.1 translation patch crashes when sorting one of the encyclopedia's alphabethically, then the 1.0 version from Gemini that works, may freeze near the last boss if you don't skip an fmv, same game engine error v1.1.1 fixed, apparently.
(the GAMEIDs, you don't have to change when building the eboot, which seems to produce errors that serve as patches when building the eboot, the more correct version of that, is just to use another program to build the eboot)
Testing Tales of Phantasia v1.1.1, no I didn't test the patch on the redump version I grabbed or the 1.0 from the same release Group because I was busy with other things, but I guess I can go back and do that, and indicate the results (Chrono Cross was another really buggy PS1 game when converted to eboot, fortunately there's a psn version of that, not always the case).
Tested Tales of Phantasia 1.0 and 1.1.1 by Tales-Cless, (with simple pop gui 3.00 and psx2psp), only Tales of Phantasia 1.0 by Gemini Works ... ... ... ... Don't have any save files for Brave Fencer to try some known fixes, maybe see if it crashes at boot with one or another psx 2 psp program
(using the original ntsc title ID, i know the japan title ID is a known boot fix for one or more of the versions of popsloader on the psp).
EDIT
Brave Fencer M. Not Working - crashes after the chapter 1 screen or in the fmv if you don't press a button to skip it, psx2psp and simple pops gui 3.00 (exactly as reported).............some gameIDs and stuff also tried, the only thing left is a patch or two, or perhaps blanking the video files that crash before you get in game.
Just a Foot Note:
1. Rebuilt Image - PSx CD-Gen (just the data image, fails to load after building with other tracks)
2. Blanked Video File? - some files
3. Other Patch - old ntsc 2 pal one
All Failed, needs a specific patch, it was good fun, all finished now!