Here are 5 cubes, for 5 different price ranges (I consider budget under £25 so figured Id add a few)
£5 AND UNDER - Meilong M v2. It is great for it's value but has bad corner cutting. But it is £5 so you can't complain.
£10 AND UNDER - RS3M 2020 - I personally don't like it, but I do think it is better than rs3m v5 standard options and such, which is cool as the cube is almost 7 years old. Good corner cutting, decent speed, frosted surface (which I like but some don't). Also you can larp with it.
£15 AND UNDER - Dayan Guhong Pro + (Either version) - Very customisable (including the size), has a lovely smooth feeling that you only really get with dayan cubes. Good corner cutting, although I think the plastic quality could be better.
£20 AND UNDER - YJ MGC BETA - I love it. It is fast, stable and has decent enough adjustment. It also has features such as REMOVABLE core to edge magnets ! The primary internals are nice.
£25 AND UNDER - RS3M v5 BC UV - Great cube, especially for OH. Very stable and has decent corner cutting. However there is only dual adjustment and the plastic quality is... not good. As in fragile.