If you're talking about NRU for Norstar - XP yes, Vista yes, 7 no, 8 no.
If you're talking about BCM 200/400 - you should be OK with whatever the latest version of Java you have (it's been a while since I had to access one). BCM 50/450 - the latest version of Business Element Manager from Avaya should work in whatever version of Windows you're running and whatever version of software you're running on the BCM.