What gaming experiences feel like entering alpha state of mind? What games make you not think, but meditate?
As a player, two distinct approaches can do the trick for me:
The first one are hand-eye coordination games, specially if they require repetition of some kind. Racing games, platform games... Going several times through the same level often helps me to disconnect (not that I do it on purpose, though). Games like that make you feel like my your reflexes are doing all the work, while you passively stare at the monitor. It feels a little bit dumb too, really. Thinking is hardly a problem - you have already memorized every single action I need to perform in order to advance. It's just a matter of timing - a little bit like playing a musical instrument. Icy Tower is a good example of the kind...
The other category that has a similar effect on me are more free-style games. The annoying flash mini-game on your right is my attempt to do something like that in a very economical way (and I really need to make a new one). Games where you don't have to worry about the outcome (I've been avoiding the use of the term nongames lately), and just perform actions to watch what happens next. Maybe Electroplankton could fit.
A balanced title, between those two categories, would be the Tony Hawk series, I guess.
Interestingly, most titles mentioned above present some variation of Vertigo, to a certain degree. I am not sure real-life activities like that allow participants to empty their minds, although I'm pretty much sure roller-coaster and radical sports enthusiasts could argue something at least vaguely similar about the effects adrenaline or endorphine. I believe Sutton-Smith would identify such activities as related to the "self" rhetoric on games - also related to individualism and what he calls "Peak experiences". Would meditation fit?