It feels like 75% of your review just says that they're an exciting band but you don't say that much to explain why; there isn't much detail
But it's written relatively well grammatically and it's your first so I'll pos
Some bits are a bit clumsy though. The first paragraph just doesn't flow that well. If it were written a bit like this-
"Formed in 2007, Lower Than Atlantis are one of the most exciting bands emerging from the UK music scene today, earning growing attention from music press and fans with their brand of punk/melodic hardcore. "
Something like that I think works better
"If Lower Than Atlantis carry on maturing as they are they could be the next band to step up into the ranks of Greenday and Rise Against. The Band have realeased 2 Ep's and a full length album Far Q on a variety of labels with their latest World Record being released on A Wolf At Your Door Records and Sumerian records."
This bit isn't really necessary^^
Also
"Even if you are not too interested in the genre this album is one you need to check out, it will pull you in and lodge itself in your brain for days.
And just add a bit more detail and explanations. "
Saying "you" a lot just sounds a bit amateurish. Try something like
"This is an album that will appeal to music fans beyond the boundaries of the genre, full of infectious hooks [or whatever is there], riffs" etc
Just some tips I think might make your style better
Digging: Still Corners - Strange Pleasures