I just played through Katamari 2 on the switch, but I played it way back on PS2. I always like Katamari 1 better.
Katamari 2 tried a lot of new things, like keeping the katamari on fire by continuously rolling things up, or trying to roll it to a specific size. None of them were bad, but they were not particularly fun.
Most importantly, the music from Katamari 1 is so much better. Those songs have been ingrained in my brain since I was a child. I still um/sing them around the house.
After finishing Katamari 2, I booted up Katamari 1 and immediately it felt like the movement was a bit quicker.
I think the next Katamari release was on the 360. I am not sure if that was the final release. I hope we get a remaster of it as I would like to see how it changed due to the increased power of that console generation.
I love this series. We Love Katamari (2nd one) is my favorite. The first one has a lot less stuff to roll up and you often have to follow a more linear path to be able to get big enough in time. Beautiful Katamari (the 360 one) is still playable on Xbox One and Series X via backwards compatibility. It works on PC via the emulator Xenia, too, but crashes a lot. Katamari Forever, the PS3 one that is kind of a “best of” with stages from the first 3 console games, works really well with the emulator RPCS3, though.