Does anyone know any good les paul custom copies for under £200? I'm on a budget but i love the shape, sound and colours of the customs.

"Good" is very subjective. Also it's hard to copy an LPC for that kind of money. At this point you may have to shoot for a used Epi LPC (sounds a bit different and a bit lighter), unless you're willing to save up for something like an Orville, Tokai, Edwards, or Epi Elitist.
ESP LTD EC-256 and a Fender Deluxe VM
Quote by the.spine.surfs
Try and find a used Ibanez lawsuit model. Try hard.

it would be extreme luck to get one for that price though
My Gear
-Gibson Les Paul Studio
-Ibanez "lawsuit" Les Paul
-Ibanez S470
-PRS SE Custom

Marshall TSL100
Marshall 1960a cab

Dunlop 535q wah
Visual Sound Liquid Chorus

Try Japanese brands like Greco and Burny (by Fernandes). I got a Greco not too long ago, jsut last week. its awesome.

Another alternative is Agile.
Fender American Vintage '62 Jaguar
Fender Crafted in Japan '62 Telecaster
THD Flexi-50 + Vox V112HTV Handwired Cab