Alignment has a tiny bearing on clerics and paladins at least
Pg 62 of the PHB under the tables of the gods and their alignments and areas of influence states how it works. It also says if you go against your gods tenents you will have issues with her followers, not with the god, the god has better crap to do than deal with a single mortal (my words there)
I'll sum it up with my own table
Character Alignment - Diety alignments allowed
Lawful Good - Lawful good, Unaligned.
Good - Good, Unaligned
Unaligned - Any
Evil - Evil, Unaligned
Chaotic Evil - Chaotic Evil, Unaligned.
Pg 90 of the PHB for paladins is a bit simpler, a Paladins alignment MUST match that of her god, no exceptions for unaligned. Same deal here with straying, if you go away from the cause the faithful will be on your butt not the god.
Pg 62 of the PHB under the tables of the gods and their alignments and areas of influence states how it works. It also says if you go against your gods tenents you will have issues with her followers, not with the god, the god has better crap to do than deal with a single mortal (my words there)
I'll sum it up with my own table
Character Alignment - Diety alignments allowed
Lawful Good - Lawful good, Unaligned.
Good - Good, Unaligned
Unaligned - Any
Evil - Evil, Unaligned
Chaotic Evil - Chaotic Evil, Unaligned.
Pg 90 of the PHB for paladins is a bit simpler, a Paladins alignment MUST match that of her god, no exceptions for unaligned. Same deal here with straying, if you go away from the cause the faithful will be on your butt not the god.