I know this sounds a bit odd, but a couple of Anne McCaffrey's early books (why am I on such a McCaffrey kick?) are really good options for the feminist side of things.
Restoree pulls a woman from 1960's Earth (when the book was written) into a dangerous new world. While it was written during a time when women in sci-fi were basically just pretty furniture that screamed at appropriate times, and is in many ways a reaction to that, it still holds up very nicely today, and raises a lot of questions about women in society that, sadly, are still just as relevant today, thanks to the way marketing has resurrected old stereotypes.
The Ship Who Sang is sort of an anti-Restoree. Where Sara is physically strong, Helva is so physically deformed that she is bioengineered from infancy to be part of the drive system for a spaceship, because her brain is considered the only "useful" part of her. (This particular sci-fi future is pretty damn ableist, and apparently did not have an AI "singularity event.") The novel follows her adventures with the able-bodied partners, or "brawns," that she works with.
Dragonsong had a very deep impact on me from an early age. Menolly is from a very insular, patriarchal Pernese Hold that is terrified of change. She wants to be a harper, but Half-Circle Sea Hold has never had a female harper. Faced with the prospect of marriage and a life of drudgery in the Hold, Menolly runs away from home--during a time when deadly Thread is falling on Pern, devouring any organic matter it touches.
I am NOT going to recommend any of her works for the LGBT side of things, though. McCaffrey was excellent at world-building and character creation, but she had pretty much zero understanding of LGBT issues, or even how sexual orientation works. As far as that goes, she appares to have been a product of her generation.
