What are some games that never redraw the screen—only draw additively—and can be represented as text or ASCII art?
This is the class of games that can be played on a teletype, besides the obvious text adventures. With reverse line feed like the Teletype Model 37, a game board can be filled in, play by play.
* Minesweeper
* Picross
* Sudoku
* Voltorb Flip
* crossword
* regular expression crossword
* virus war / Paper Tactics
* tic-tac-toe
* hangman