I really do like Bruce and Selina as a potential romance story. I believe they could fall in love, but it is all only hinted and implied. You can see the potential and then the epilogue just skips the middle step(s) by what appears to be a few months. But it works.
Still yes, the trilogy is definitely about the bromance. And as much as I love the father/son relationship between Bruce and Alfred...
The bromance between Bruce, Gordon and Dent was extreme in TDK. I understand narratively why TDKR shifted from Gordon and more to Robin/Blake (not unlike the comics), but Gordon is the truest friend Bruce Wayne ever had. Especially in the first two movies.