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.