Romesh is alright. At least he's a bit different in style and he self-deprecates better than most. Plus he's the only British comedian that doesn't tell jokes about his kids that are, 'So my kid did this funny thing hahahaha.'
If we're talking about box-ticking and somewhat unfunny comedians that seem to find their way onto every single TV show with comedians on, look no further than the pairing of big-teeth, overweight, blonde and Essex comedians Rob Beckett and Roisin Conaty.
How have they not been mentioned yet?
Also, people keep mentioning BBC but Channel 4 has really taken a dive as far as cookie-cutter, PC friendly comedians are concerned.
British comedy in general has done a really poor job of transitioning from the old-school jokes galore style of the pre 1980s to the more modern alternative and personable style, at least at a mainstream level. To really be a standout these days you either have to have a really big and exciting personality or have some really astute (and often offensive) points to make, often both. Unfortunately, in the UK the platform for the latter isn't that big, so clever and offensive comedians like Stewart Lee, Jerry Sadowitz and Frankie Boyle and others tend to get a bit lost by the wayside. So all we're left with is a bunch of fairly funny but not funny comedians and the only source of big laughs come from the depressingly very few large-ham guys like Peter Kay, Lee Evans, Michael Mcintyre, Jack Whitehall and co (whether you like them or not). Hopefully we get some more British comedians hopping the pond because the US is a much better place to develop. Netflix is doing a lot of these Brits favours by giving them a platform to actually express themselves.
Saying all that, it's not that the UK public aren't without fault. We had three comedians in the BGT final last year and whilst one of them was brilliantly funny, we somehow managed to vote him into second place behind one of the other ones; the one with the more family friendly style and backstory. So there's that to note. (I actually saw the third comedian Mikey P Kerr live not too long before he was on BGT and his material is a bit less TV friendly live, and he was very very good I should add).