On a video of mine I found the last couple of minutes of something of theirs from 1993 (made by Channel X) called Fantastic Facts, presented by Jonathan Ross, and it looks pretty dire.
It wasn't very good, I remember it had been on the shelf for ages before it was broadcast. It was your bog standard compilation of funny adverts and silly studio business. A lot of Carlton's early light entertainment attempted to subvert the conventions of light entertainment a bit, I think Lose A Million is probably the archetypal early Carlton show, trying to be a bit subversive while also being light entertainment in its own right, and Chris Tarrant - with all his famed wackiness - is probably the ultimate Carlton celeb.
Carlton did make a lot of rubbish, and it's true the ITC said their first few years were disappointing, but what ITV company didn't? They did a couple of good sitcoms, Is It Legal as mentioned, plus Frank Stubbs and Bramwell were popular dramas of the era. They also lured Clive James over, and they got the Brits from the Beeb, and probably did a lot to improve their credibility, they were a total laughing stock at the time and they've proven to be a valuable brand for ITV.
Nobody can make much of a list of Carlton's nineties output, but you'd be hard-pressed to come up with a similar list for any ITV company in that era. A lot of shows from that era were quite popular at the time but have now been completely forgotten, from all regions. It doesn't help they were only completely independent for a few years.