The Darkness series
NBA 2K series
NHL 2K series
Spec Ops: The Line
WWE 2K series
Details and Conditions
2K's policy is pretty much the same as their parent company, Take-Two Interactive, but they have their own article on their support website:
"Generally, 2K does not object to fans using materials for non-commercial uses in a manner which does not intentionally spoil the plot for others. "Non-commercial" means that you don't sell site membership, use the material to promote a product you sell on the site like a shirt or wallpaper, or use other advertising-driven monetization. 2K does reserve the right to have its copyrighted material taken down at any time."
2K will issue a take-down notice if you post pre-release footage or poilers for the ending of a game or just cutscenes unless it's part of a larger narrative play-through.
See more details by clicking the "source" link below.