[Venting a bit here . . . ] The drummer is also a Beatles fanatic, to the point where he bought a half-dozen copies of the Complete Beatles book (lyrics and chords version) and had them spiral bound so that everyone could attempt any Beatles song (other than the covers) that was suggested.
Unfortunately, the Beatles songs tended to sound pretty good at the first attempt but never improved, or even got worse, thanks to the drummer's memory problems.
I'm with you - my band is in Liverpool, so a bit of the Beatles back catalogue is expected, but it has to be good, or you will know the audience's displeasure. So we polished a few and use them as appropriate. The guitarist tries to introduce more and more (he plays them VERY well, too) and has recently taken to introducing them as songs "by the Stones" or any other band to try to catch me out (I'm the only one in the band not born and bred in Liverpool

). Things that go down well and are fun to play are (for us):
Here Comes The Sun, Honey Don't, Act Naturally, Something, Can't Buy Me Love, Get Back, and Blackbird (just singer and guitarist - done absolutely beautifully).
To come back on topic: We play perhaps 6-8 gigs a year, pretty much all for folks that know we play. Our practice schedule is agreed in advance and, barring emergencies, adhered to. We'd like to play more, but are keenly aware of time constraints, and we enjoy the hang and the music. We break even on band expenses, so money is no detriment, but the day jobs are not in any danger. We have conversations about our motivations, and our limitations, too. No-one is under any illusion about everyone else's level of commitment and we have fun.
Songs that are not generally well liked are tolerated to an extent, provided it is shared. Everyone makes an effort to accommodate other tastes, but there is a limit. It is a joint project, and the personalities involved are luckily mature enough to realise that it has to be give and take for everyone. Of 10 proposals for new material we typically end up adopting about half, the others either don't work well, or are beyond us or are simply not to everyone's taste. BUT: Everyone tries to play all proposals, none are dismissed out of hand, and we all make an effort before rejecting anything. All in all we built up a catalogue of 70ish songs that can be performed at the drop of a hat.
Special dreams? Do a side project, no problem at all. We'll even come and see you and cheer you on if you go and perform.
TLDR: Communicate, be flexible but reliable, respect others' tastes, propose things that are in line with everyone's abilities and tastes, and generally try to be a good egg all round

.