I haven't had one but the most needy is for sure the Ocean.
As for the ones I have personally played, then probably the Music Star. It's not really that needy but the gameplay is a bit complicated on the first generation, as you barely have any money and the built in food doesn't really work after your character is not a baby anymore. The games don't give you money either (only the work minigames), and if you don't get the first place on your first gameplay you're kind of screwed because you won't get any money on the next one. You have to earn a lot of points and it takes ages.
Of the black and white tamas I haven't had experience with anything that isn't a connection, and of those, my experiences only range from V2 to Tama-Go, so: