Would you prefer closed or open back?
For closed back go for the DT770 Pro's. They come in at about £89
For open back I got a few options.
The AKG K702. They are extremely good for the genre's you mentioned. These can be had for only £130
The Sennheiser HD 598's are an all around amazing open back headphone. You will love these. Especially for £110. Beautiful cans.
Last but amazing, loved headphone around here is the Phillips Fidelio X1. A great contender in this price range of open back headphones. There's a reason why it is more expensive than the other. But believe me, It is well worth it.
My two personal picks would be either the HD's or the X1's. Both have amazing worth. Feel free to ask questions about any of these headphones (or others). :D