Doom - savestatesare not implemented right now, use normal saves
FBA - Savestates are broken all across the board. Me and maister could possibly have another look at it - our serialization implementation is dead wrong right now.
MAME - This is likely game-specific - and really, MAME has NEVER had (through its entire lifetime - not even the latest version today) all savestates working equally across all drivers. So - given that this is a 2003 version - don’t expect much really and be happy what little games WILL save.