I played MUDs on a 1200 baud modem, and I was at a distinct disadvantage. Going to 9600 was incredible.
I went on a MUD binge recently, and got a good dose of nostalgia. Check out The MUD Connector, if you're interested.
Unfortunately, my modem had a sticky phone line relay and so to disconnect the call the procedure was: turn knob, listen for click, thump modem a couple of times just in case, lift phone and check for dial tone.
Pic here, although mine was an even earlier model with a brown case:
http://www.computinghistory.org.uk/userdata/images/large/86/...
I actually used it for work for a few years for dialling in from home.