Well lets see, just off the top of my head and nowhere near complete...
Weapons have range X where you can see enemies but not actually shoot them with your longbow is very very videogameish.
Just gonna avoid this one as I'm not actually sure what I think about it.
Healing "just happening" is very videogameish.
Cinematic/Narrative. Unless the injury is particularly noteworthy, the healing process tends to get glossed over.
"At-Will" powers are pretty videogameish, scorching blast round after round is diablo pretty much.
Cinematic/Narrative. Its in the same vein as guns with infinite seeming bullets, etc. People have a standard, reliable attack method.
"encounter" and "daily" powers are very videogameish, matching cooldowns you often see in MMOs like WoW or 10min/2hr powers from FFXI etc.
Cinematic/Narrative. People don't spam their special moves repeatedly.
A lot of the powers have weird effects that are inexplicable, very videogameish.
Give me some samples and I'll address them directly, but almost everything in 4th can be dealt with by actually sitting down with the rules for a minute, thinking about the power and making it flavor so it either works with the character or the scene.
Monsters not following player rules is pretty videogameish where parties are 5 or 6 players so monsters tend to have 3-10x the HP of a player is one example. Monsters not healing much (compared to the party) is another.
Cinematic/Narrative. BBEG and villains usually tend to be significantly different/special. This is especially true with monster types.
"Treasure Bundles", "get a wish list of magic items to give to the players" and the clear direction from the game that players are expected to win and get what they want to drop from the monsters and to reach maximum level is pretty standard videogameism as well.
Cinematic/Narrative. Heroes get the epic treasures that they can use to destroy evil. They don't get "oh, another +1 mace." They get the legendary blade to slay the archivillain, or piles of gems and ancient treasures that they sell to the friendly broken and get the secret bow from his backroom.
I actually want to say that the opposite is INFINITELY more video gamey. You know how many times I've run Kara and not gotten the drops I need?
Carts going 1mph that do enough damage easily kill people is a nice one too.
Exact rule?
To try and condense my point...
4th Edition takes a step back, examines its roots and makes a game that's specialized in emulating cinematic sword and sorcery style fantasy. The entire system, frankly, is built around the tropes that make up the genre. The rules are designed to reflect the sort of action you'd expect out of a S&S flick, a new comic, a chapter of manga or a pulp fantasy novel.
*shrugs*
Go back and take a look at all the things listed above. Almost every one of them can be addressed and made logical if you were to consider the game world not as a "real world" but the stage for a fantasy story. If you want, I can go back through and help you deal with the individual issues, but... yeah. I'm not finding the system that much more video gamey than a previous system.