0.37b5 should provide pretty much everything for 'classic' arcade games and will easily run on the PI3 B, MAME 0.106 is the last release for the PI and this should still work ok for the vast majority of games and will still run on the PI 3B
MAME version NEED a specific ROM set as each version of MAME has updates and redumps or better dumps of ROMs that were not working earlier, which is why MAME fails if you don't have the ROMs to match
I do have a set of ROMs that I picked up looking for some help on how to create a custom ROM set with only working ROMs and came across the set by accident that has ONLY the working versions of each game, and the best ones of FBA or MAME. with a lot of the redundant games removed. Easy to install and comes with very simple instructions to basically copy over and its ready to go. Try searching for "wills arcade set". Thats all the help I can give
Never every unzip the MAME ZIP files. FBA and MAME need the files zipped, one of the few emulators that MUST be zipped for it to work as it should
There are a lot of clones and games that are non-working and some where only the clones work. This improved with later revisions of MAME but the PI can't run the later games due to sheer processing power required