The latency encountered while playing a game is a sum total. In general, input latency has more impact than network latency.
The input latency of monitors and TVs is 5-60ms. 5-7 for mainstream gaming monitors and 7-20ms for high-end TVs, as you can see from the various monitor and TV reviews.
The computer game machine itself frame generation delay, generally 5-15ms.
There is also the keyboard and mouse input latency, generally 3-10ms.
Online games have network latency, this depends on the server. 10-100ms or even more is possible.