Draco in Leather Pants: Alec in the 2008 BBC version. He's way more sympathetic than in the book or the other films, complete with a clear Freudian Excuse (and lacking a creepy moustache, too).
It's All About Me: Particurly at Tess's confession, Angel spends time feeling sorry for himself for accidently choosing an impure woman as his wife rather than actually giving Tess the comfort she deserves.
Narm: Modern readers often find the Deus Angst Machina plotline just a little bit too much to handle seriously.
Purity Sue: Simultaneously played straight and subverted. On one hand, by Victorian sensibilities, presenting a female rape victim as unfailingly pure was shocking - common thought would have been to view her as a slut who must have been 'asking for it'. On the other, Tess is deeply a victim of Victorian tragic literary convention, and considering that her only real character 'flaw' is her early naivete (which is presented as a part of her innocent charm), she definitely rings more than a little of this. Hell, even the title of the novel is Tess of the d'Urbervilles: a Pure Woman Faithfully Presented.
Considering that this was against Victorian convention, the title is probably intentionally chosen to underline the fact that Tess is an innocent victim and make it impossible to misunderstand the text of the book.
Tess is by no means perfect. She put off even trying to tell Angel what had happened to her until they were almost married. Also, she stabbed a guy to death.