Ten/Rose were clearly BASED ON Bangel, given the characters themselves were even based on those characters. Rose and Jenny the Doctor's Daughter were both based on Buffy and admittedly so. While the Doctor has been around since 1963, RTD's take on him was with a heavy dose of immortal romance trope angst, genocide-level guilt and a tendency to make very dark decisions and actions that he ultimately pays for tenfold with a tragic hero's ending. Like Angel, the Doctor has a tendency sometimes to make very harsh head-over-heart decisions for others.
If the ASH casting, the school setting and the "shooty dog thing" Buffyspeak homage didn't make it a giant 'duh' in School Reunion, this scene certainly did (it's practically ripped right out of the Mayor's speech in Choices and all of Angel's future speeches):
Rose: How many of us have there been traveling with you?
Doctor: Does it matter?
Rose: Yeah, it does, if I'm just the latest in a long line.
Doctor: As opposed to what?
Rose: I thought you and me were... I obviously got it wrong. I've been to the year five billion, right, but this? Now, this is really seeing the future. You just leave us behind. Is that what you're going to do to me?
Doctor: No. Not to you.
Rose: But Sarah Jane? You were that close to her once, and now, you never even mention her. Why not?
Doctor: I don't age. I regenerate. But humans decay. You wither and you die. Imagine watching that happen to someone you...
Rose: What, Doctor?
Doctor: You can spend the rest of your life with me, but I can't spend the rest of mine with you. I have to live on. Alone. That's the curse of the Time Lords.
Then we have the scenes of the Doctor choosing to leave Rose behind twice (the scene where he sticks the dimension jumper on her, followed by a confrontation about her never seeing her own mother again, and then when he drops off Rose and his part-human Metacrisis self in Pete's World) so she can live out a normal life in another universe with her family. Angel's also known for expressing the unfairness of a mortal/immortal relationship that can never be several times and making decisions by himself to do what he thinks is best for another, but also knowing that he will always end up alone (The Prom and I Will Remember You). In both cases, the immortal is quite upfront about any possible relationship with them being impossible due to unequal lifespans, an insurmountable species difference perceived as wrong (both bothering the non-human far more), lack of a human future if one chooses to be with them and all that entails, belief that they're ultimately doomed to be alone and having a higher calling than the nice dream of playing at being a normal human for a little while (Human Nature is the Doctor's I Will Remember You). Both of them are ultimately the ones that break it off, even if the girl desperately wants to ignore all the reasons they can't be together. The Time War pretty much gave the Doctor a guilt complex nearly on par with Angel's, though Moffat undid it.
The character of Jack (going as far as to cast James Marsters alongside as a rival), despite the wildly different personality, and the spinoff formula is also heavily inspired by Angel in other ways. RTD was always quite upfront with his inspirations from the Jossverse.
(Sorry about the audio problem on the second one, but the visuals are still comparative.)
