Also a guy -- no beard -- but (and I'm not joking here)... I watched that exact trailer just now and teared up a little.
As for movies, I have two examples: Up (pure emotion) and The Fountain -- the scene towards the end where he talks to the high priest and Clint Mansell's music takes over.
For me, I think it's generally sort of really EPIC things that do it. Really huge scales also tend to do it, for example some of the star size comparisons, or David Deutsch's talk about relativistic jets[1], or just contemplating the fact that some black holes swallow a solar mass per day.
Sometimes it's just "beauty", e.g. I couldn't help tearing up when Carolyn Porco showed the "Saturn Eclipse"[2] picture in her Ted Talk[3]. Some of that, I think, was because of the realization that we humans had actually sent a thing out there to take that picture.
(Btw, I think I'm generally considered a bit of a cold fish among my friends/acquaintances, FWIW. Humans are weird.)
[1] https://www.youtube.com/watch?v=gQliI_WGaGk
[2] https://upload.wikimedia.org/wikipedia/commons/b/ba/Saturn_e... (WARNING: Image is HUGE!)
[3] https://www.youtube.com/watch?v=5usqdjsr6Vw (I won't link you to the exact time because the video deserves to be seen its entirety. If you really want to skip, skip to 15m15s.)