Neatorama, is "Jorinapeka," which requires you to come up with path-finding strategies. I've found that it takes about a minute to play a level, so total game time is about 10-20 minutes.
All these images are screencaps. To play the game, go to this link.
Addendum: New personal best score 9754 (couldn't clear level 23 in five moves, embedded above) -