Mame can use 49-ways,  I have 2 of them myself,  but you need the encoder boards.  The only ones I've seen are the GP-wiz49max,  and Groovygamegear.com has been out of them for awhile,  I don't know if they're going to restock.  You could fire them an E-mail.
If you can get ahold of the GP49 encoder,  it has a nice program that lets you switch between 2w-4w-8w-49w.(And IIRC Q-bert)
Sinistar, Blizt, and a few others.
No clue,  but with the GP49 encoder,  I don't see why not.
I'll leave the U360 question up for the more qualified to answer.