When the Xbox launched in 2001, Microsoft was desperate to establish key franchises to stand out from the pack. Nintendo had Mario, Sega had Sonic, Sony had Crash Bandicoot (sorta), and they felt like they needed a mascot for the system as well. While Master Chief eventually became the supreme choice for a mascot, they did try to make a character that all ages could enjoy. This was Blinx, a cat with a knack for vacuum cleaners and time travel.
Blinx actually works at a place called the Time Factory where they look for glitches in time. Blinx gets some kind of mission to save a princess stuck in some bad point of time. So yeah... not the most gripping plot in the history of video games. I'm still trying to make sense out of it. What doesn't make sense is that Microsoft claimed (on the back of the box) that this was the first 4D game ever...
The big point of the game-play was the time-control. You could rewind mistakes, slow-mo action, pause moments, and a few others. So imagine Viewtiful Joe meets your TV remote. The game had plenty of platforming and boss battles.
Except critics and gamers alike didn't think Blinx was worthy of much of their time. It did oddly well in Japan for an Xbox game. The popular Japanese magazine Famitsu gave it an impressive score, and Blinx was considered a temporary mascot for the Xbox in Japan. But since the Xbox tanked in the land of the rising sun, Blinx faded away into obscurity just like it did in America and Europe.