Probably not for this list, but I had to share these due to the cuteness anyway.
The Super Hero Squad Show, episode 16: Tales of Suspense: When Iron Man is framed, Cap asks him to step down from the team (with lots of touching and Meaningful Looks). One Two Three Four

And back to our regularly-scheduled comics:
Avengers Annual v.1 #6 (immediately following Avengers v.1 #153): The Avengers and all of L.A. could be blown to bits, but Iron Man only worries about Cap.
Avengers v.1 #157 (cover): Even when defeated, Cap and Iron Man cuddle are side-by-side.

A correction: Moment #66 - the first scan is from Ultimatum #1, but the other three are from #2.
Ultimatum #3: When Cap's in the hospital, Tony stays with him the entire time.

Both of these are pre-"Demon in a Bottle":
Captain America v.1 #218: Iron Man's not a therapist, but he's always willing to listen when Cap needs him.
Captain America v.1 #224: Iron Man knows Steve's face better than Steve does.
Also - according to published dates, Cap #238 was the last one published before "DiaB" (#239 was the same month), so does moment #6 need to be moved slightly? O.o
Avengers v.1 #171: What personal space? (Even Wanda and Vizh aren't standing that close together.)
Avengers v.1 #171: Cap reassures Iron Man about his judgment (even though he just questioned it on the previous page).
Avengers v.1 #181 (cover): Cap holds Iron Man back from Gyrich... by hugging him. (Worthy of note: The only other people touching on this cover are the two married couples.)
Avengers v.1 #182: Cap can do anything. Just ask Iron Man.
Iron Man v.1 #125: Tony understands when Cap takes over leading the Avengers.
Iron Man v.1 #125: Tony turns to Steve for self-defense lessons. Cap believes him when he says that he plays a lot of tennis. Really.

Post-"Demon in a Bottle":
Avengers v.1 #193: Any excuse to hold hands. (No matter how painful that must be...)

A Civil War moment (I'm guessing it goes after moment #55 but before Casualties of War):
Black Panther #18 (cover): It's T'Challa and Storm's wedding, but all eyes are on Iron Man and Captain America.
Black Panther #18: An unexpected meeting brings debate and long, meaningful Looks. One Two

Avengers & Power Pack Assemble #1: Steve's always willing to help a close friend, even if he's across the country. One Two
(I guess the 616 area? It was published in 2006.)