TStael: I have to admit that my very, very first employer, as a student during my university years, had not disabled minesweeper, nor solitaire... but this was a supremely boring job, might I add.
I do like the relaxing, random element of it to begin with... but then at least it gets a bit more analytical.
It was quite fun, and more than a little competitive, that a number of keen players in the circles I knew always fought to win the supremacy of Minesweeper at a given computer. This required certainly a favorable combination of heuristics, analytical approach, speed and luck!
I think the randomness is one of the reasons I like it so much, too. Every game is similar, but different.
Also, It would be kind of nice for me to have someone to compete with, but unfortunately, none of my other family members and none of my friends (at least as far as I know) even know how to play. Thus, I have only myself to compete with. It's still a fun challenge, though. Currently, my best time is 101 seconds. That was a month or so ago. The closest I've gotten since is 108. I'm determined to get below a hundred, but my brother is convinced I never will.