Maki Ueda
Owata 人生 オワタ- a game in Shift-JIS ASCII by IlIlIlIlIlIlIlIl, 2008. Play it online here.
TextFighter, an Apple II-game by Bret Victor, 1994. “A full featured arcade-style fighting game that uses only text characters and runs on any Apple II.”
A teletext game for the BBC Micro called Flowers of Crystal (1984). Great intro!
(>’.’)>=O____l_*__O=<(’.’<) by Oliver Laric
Density by K.O Götz, 1962. Although technically more similar to pixel graphics, this computer animation looks rather textmode to all the whales in the house. Also available on archive.org.