In Katamari Damacy you roll a ball about environments, picking up any objects small enough to stick to it. What's so fun about the game is the familiarity with the real world - like the Micro Machines games you get a warm sense of recognition when you see these every day objects being used in a gaming context. The game idea is very simple but is highly addictive and compelling as you reach levels where the ball is large enough to pick up people (!) and even huge skyscraper buildings.
When you play each level you know that sooner or later the boundaries that seem to trap you in will be at the mercy of the Katamari, once it has grown large enough. This is particularly satisfying as the game comes near the end and you are able to escape the island you start on and explore out to other landscapes picking up the buildings (and monsters!) in the cities you find.
Me and My Katamari offers a zen-like experience which you can play without thinking too hard, giving you time to appreciate the level of detail that has been put into the game. Each object is lovingly modelled and has an entry in the game's 'log book'. After the final level has been completed there's still the enjoyment of going back and tracking down all those missing objects. Katamari Damacy, like Sim City, makes us look at the world we live in on a different scale to our usual human, day to day level and at times offers an amusing mockery of human 20th century civilisation - there's something plainly ludicrous about rolling up the Eiffel Tower on a huge sphere covered in junk.
My only criticism is that the game recycles levels too much. Creating the environments takes such effort that there are only a few different places in the game for each 'scale'. My problem is that instead of being honest about this, the developer has to spread these environments out over a space of time about three times as long as it needs to be. I got to the end eventually but I wouldn't have really minded if the game had been shorter - there's plenty of replay value without making the single player game so needlessly drawn out.