;;2;; Games are faster if you are in the same timezone, or have similar online times.
;;2;; Games are also faster if you play someone much better than you
;;2;; Games are also faster if you play shorter games
;;2;; Games are also faster if you pick games with small number of finite moves.. e.g. whist only has 26 moves

Suggestion 1:

Check out the longer games (dominoes (including double12, double9), hearts, eureka, three hand whist, rummikib) go to the best players list have a look at people's profile on completed games. see if you find people who match your sort of games that you like and that their past games are quick players.

People who play longer games generally are quicker players because the games go too long if take a long time per move. e.g. one of my opponents in double 12 dominoes (It is too much effort for me, but I thought I would give it a go) did 236 moves in less than 7 days. If two people who take a 3 day time to the limit had taken 4 days per move (3 days + 1 day off) this would have been 236*4*2 = 1488 days = 4 1/2 years ..

Suggestion 2:

Put an invite in for a game you want to play, specifiy a total timelimit that you want to achieve. You will then find like minded people.
I see some invites for backgammon variants total time per player is 15 days. That to, is moving fast

Suggestion 3:

Join The Gold Triathlon Marathon Club. Those games are always fast