How 'low' do you want to go with your budget? Gaming PCs at PC World are priced from £600 to £5000, so none of them are particularly cheap.
The system requirements for playing Minecraft are here:
https://www.game-debate.com/games/index.php?g_id=1235&game=Minecraft
(Even if they don't mean much to you, they might help people posting on this thread to see how their suggested machines match up).
I'm reasonably confident that any of the machines shown here would meet your needs
https://accomputerwarehouse.com/product-category/gaming-pcs/
but I'd suggest checking with the vendor that the graphics cards meet the specifications on my first link above. (Annoyingly, the descriptions of graphics cards used on software websites often seem to have no obvious connection to the descriptions used by the vendors of hardware. So it's always best to ask. AC Computer Warehouse is staffed by exceptionally knowledgeable and helpful people. I can thoroughly recommend both their products and the quality of their service.).