Bunni, like Triple Town, is a Dan Cook design (in this case with Andre Spierings), but the gameplay is quite different, though the graphics are equally cute.
It is, at its core, an aufbaustrategiespiel, that genre of builder game more popular in Europe than the US, and typified by the Anno series -- but, of course, vastly stripped down and simplified for a casual game audience.
You are a sort of bunny-king; at game start, you're given a bunny house, a forest, and a lumbermill, and instructed to place them, then put your bunny in the lumbermill. It starts to produce wood. Then you receive your first store, which allows the purchase of additional houses, lumbermills, stone hills, and quarries; wood and stone are, obviously, the main resources of the game. You must also plant flowers to feed your bunnies.