They are pretty brash with their beats. You'll probably really like their videos and these other artists: DaftPunk, Sebastion Leger (French Spelling), and maybe Green Velvet. It's hard to compare Basement Jaxx to anyone because they sound pretty unique. They soound like themselves.
If you like the funky pretensious distain some of the tracks have, you'll probably like Ladytron. That said, since you're liking the Jaxx, go for Felix Tha Housecat's Kittenz and Thee Glitz album. I can't stop listening to it.
Jaxx
Ladytron: 604, Light and Magic
Felix da Housecat: Kittenz and Thee Glitz
and anything by Miguel Miggs.
What you're enjoying from the Jaxx is mostly French House or very simmilar to French House. There's some slammin tracks I find, and then some turn out to be very gay and too wafty. What I like is a mix inbetween when something's got attitude, when it's funky, and when it sounds like there is both emotion and intention that I can derive from the meaning/feeling of the track. Enjoy.