OK, now I want to know what games you're playing. I do this too with Starcraft II Arcade offerings.
Nothing exceptional, mainly mobile CCGs or card-based games that exercise my math processing.
Games like Hearthstone, Ascension, Sword & Poker, Carcasonne along with a bit of SF4 Volt. Turns need to be done in at most 1m or games should be done in 2-3m max.
I play slow online turn-based games when at home doing really boring work. I can context-switch, engage my creative mind for 15-30s, and jump back into page 57 of the design doc I'm reviewing.
As for intense gaming sessions, I have young kids = unless it's appropriate for them (more and more the case as they grow up) I don't have time for it.