Many churches in the centre of London hold free classical music recitals in ther lunch hour, and I've been to many of those.
I've also visited many churches because of the architecture. Rouen, in particular, appears to have more gothic churches than people - perhaps they were all just out of town that day....
Some churches are great for the relics - I remember seeing one skull in a church in France with the genuine skull of a saint (was it St Michel of Mont St Michel fame ? I'm not sure I can recall now) where God had told him to build a church, he didn't do it, and then God prodded him in the skull with His Finger, and said "I meant build it now!" And when the saint died, they found this hole in his skull. Amazing, eh ?
The magificent Chartres cathedral also has the genuine shawl as worn by Mary when she gave birth to Jesus! Even if it isn't genuine (and, to be honest, I do have my doubts) this piece of fabric has been venerated by churchgoers for a thousand years, and that makes it rather special even if was originally just a dishcloth.
That about covers my churchgoing. Oh, also an occasional marriage or a service of rememberance for a Christian friend or colleague. Is it controversial ? Well, some Christian colleagues did give me some hassle about repeatedly visiting churches when I had so clearly hardened my heart against Jesus and God - but I guess that's not the real meaning of the OP's questions....