I've loved this movie since it came out. There definitely are some moments within it that are cringey by today's standards (and even the standards back then), but I think that what makes me enjoy this movie is the female friendship, how strong these women are together and on their own, and how light the movie is (in terms of tone). Definitely a product of the girly girl-power type trend that was going on in the early 2000s, but what's wrong with being a girly girl? One can be badass and unapologetically "girly."
I didn't really like the choice of villain or the villain's motives. But, for me it wasn't all about the plot. As a young girl when I first saw this, I was in awe because there just weren't many female led action movies like this at the time (and today too). Often if there is a female action character or even just female character, she is made to be so serious and no-nonsense or irrational and one dimensional. That portrayal exists in just about all the action movies. Such a lazy thing for movie studios and writers to do. I think this movie kinda breaks that habit (the Angels are funny, have lives, are kickass, and are super tight with each other), but there's still a ways to go, although I do see studios getting there. Looking forward to Captain Marvel!
As for keeping true to the source (the TV show), I think it generally does a good job of keeping the premise going (Charlie, the Angels, Bosley, the big case, disguises, gadgets, going undercover). I think it's still sexist with its exploitative, biased, and stereotyped portrayal of women just like the TV show was, but maybe a little less so. I hope the next iteration of Charlie's Angels really tackles that aspect and puts it away for good.