There were 2 BBSes that I loved best: Amiga Magazine BBS and Foxhunt BBS, both in the Netherlands. I got to know a lot of people there and we even had 2 Amiga Magazine BBS user parties back in the day.
I don't remember which terminal software I used, but for the messageboards I used Spot and AmyBW.
I also had my own BBS, called The Missing Channel (running on the TronBBS package), it ran only locally (offline) on my A500 with 2.5MB FastRAM, and later it was online a few months on my factory standard A3000.
And today I received a genuine Amiga branded 14k4 modem which I won on Ebay recently, so now it's a small step to start up my BBS again (I only need to completely re-design all my ANSI art since that has been LONG gone...).
Man, those were the days. The Internet was still stumbling around in diapers and SysOps were the coolest people around! :-D