I don't have the PHB yet, but I got a look at the list of Deities and wow, definitely a lot of stuff that is wacky/strange/dumb there.
I mean, it seems clear that whoever did the Greek deities has literally never seriously read any Greek Mythology. Artemis is NG. Artemis. What... by D&D's own definitions, she's N *at best*, probably CN. Most Greek gods should be CN. They do whatever the hell they personally feel like with no regard for morality or righteousness. Hades, who, frankly, is one of the better ones, is LE. If he's LE, guys, then Zeus is CE, so that's some Hollywood bullcrap right there. Hephaestus is NG. I can't think of anything that he's ever done that would warrant that. Aphrodite is CG. HAH! As if. Hera is CN?! That seems actively sexist and nasty. Hera is, if anything, more rational than most of the gods. Nasty? Yes, but in an organised, logical way. You can't have Zeus, who does whatever the hell he likes to whoever he likes whether they think it's okay or not, as N, and Hera as CN. You just can't. She is far more "lawful" than him. If he's CN, she could be N. LN or even LE might be better for her. I could go on. At least Ares is CE. That's something.
In the Celtic ones, Arawn is listed as NE. Er, no. Arawn is not a particularly nasty figure in actual Celtic myth. There's zero justification for him being Evil that I can see (unless, again, a whole bunch of people they have listed as N and even G are going to be E).
Odin is NG... it just doesn't seem quite right.
I could go on about this stuff all day, but it just seems really dodgy. The Hera thing makes me actually mad. She's a total dick, sure, but she is not more random or unreasonable than Zeus, for god's sake!