I replay my favorite puzzle games all the time, such as Tetris, Sudoku, Minesweeper and Solitare. I also end up replaying games every month that I love so much, 'specially retro games.
There's some games you just don't "replay", like MMO games and freaking Cookie Clicker. With those you either get sucked into it for long periods of time, or take a break from it forever eventually. It's the case with RuneScape. Although I might like to play it again, I sort of grew out of it. I still think it's for 14-year-olds.