Well of course no matter how popular someone or something is, there will always be people who dont
like it. This applies to pop music, films, art, comedians, books, holiday resorts etc.
So just because the Beatles were big it does not mean to say you have to like them.
The Beatles were of course a "pop" band and the Stones were more of a R&B and rock band, so
somewhat heavier.
But as someone who "grew up" in the 1960s it is impossible to say what a massive influence they had on music and fashion and art all over the world. Even the Stones tried to "copy" them with their album "Satanic Majesties".
If you take just one Beatles album, Revolver. It had 16 songs, all of them written by band members, and the range of music on that album is immense, from pop, to humour, to folk, to soul, to ballads, to psychedelic. And each track still sounds good today. Just listen to say "Eleanor Rigby" or "Here there and everywhere" to hear classic songs.
The fact that the remastered Beatles albums have sold in such huge quantities shows how popular they still are, after all these years.
In less than 10 years they produced classic song after classic song, people are still do cover versions of their songs, and X Factor and show like that always seem to do a "Beatles week" where people sing versions of their songs.