I, too, love Carr and Boyle, and I second the Lee Mack recommendation (reading his book right now and really enjoying it). Checking out Gary Delaney now, and I like what I'm hearing so far. Good rec.

I especially like it when Jimmy Carr does the thing at the end of his sets where he gets progressively more and more extremely un-P.C. to stretch the limits of what sorts of f'ed up things an audience will openly laugh about. Are you supposed to laugh? Are you a bad person if you laugh? ...I don't know, but that's the fun of it.

Doc Brown tends to always pick on race in his comedy, which some people find uncomfortable.

Doc Brown - My Proper Tea https://www.youtube.com/watch?v=FtK_vfp8po8

Doc Brown "Everybody's Racist" https://www.youtube.com/watch?v=JrK_HVGOnUo

As do Key & Peele

Key & Peele - Insult Comic https://www.youtube.com/watch?v=RlTbJZ64sVM

New comedian? Hmm Jack Whitehall?

In the Netherlands we have a comedian called Jandino Asporaat who is extremely hilarious, I just saw his Stand-up special called "Whatever It Takes" on Netflix yesterday and I couldn't stop laughing!

It has English subtitles

Doug Stanhope and Louis CK would be choices for me, both American Comedians but they do very dark comedy. For instance, Doug Stanhope does a bit about when he helped his Mother commit suicide. Very dark, very mixed emotions, and completely true.

I also agree with Bill Burr, he has some great specials on Netflix. He's one of my favourite comedians of the moment.