There are at least 2 questions you need to answer: do you need/have HDCP and can you live with the aspect ratio of the monitor, which is more likely 16:10 (e.g. 1920x1200) rather than 16:9 (1920x1080).
My comcast box has DVI out up to 1080i, but HDCP is required.
The dell 24" LCD has it, but maxes out at 720p using HDCP with current versions. Such a shame considering the native is 1920x1200, otherwise it would be an ideal hybrid monitor for work and play.
Otherwise you usually need a HDTV LCD or a
"HD-Ready Monitor" LCD (or whatever way they call it now) which is one without a tuner but has HDCP.
When I stopped caring about super quiet: E5 1680v2 @ 4.5Ghz, 980ti, i750 SSD - JS9500 & Dell P2715Q for dual 4k@60 because reasons
SAN shares over 56Gb infiniband, microcenter + fleabay = severe risks to my wallet