Sadly, it probably wouldn't be an automatic reason for banning/not making nowadays, but Richard Curtis has an enduring obsession with focusing on young, slim, beautiful people and quite nonchalantly and gratuitously shaming anybody who doesn't fit his ideals of perfection as bad, ugly or otherwise undesirable. At least, in most films, plain, old, overweight or similarly 'non-perfect' characters are just ignored, rather than ridiculed.
He also often makes films that are sold as and given an assumed free 'family-friendly' pass - which have many scenes and themes (and language) that are very much not appropriate for children. At least with, say, Tarantino, everybody knows very well where they stand and acknowledges that they aren't for youngsters.
There were also complaints that, in amidst all of the depictions of loving couples, the single scene involving a non-straight (and also elderly, as it happens) couple ended up on the cutting-room floor.
RC himself has said that he wouldn't make that film now, 20 years on.