If your goal is to start reading more often, stop reading so many books you think you ought to read and read more books you want to read. Variety and challenging yourself are good but sometimes you can get carried away and just make yourself not want to read anything.
This is very true. I am usually not the best reader but I recently picked up an excellent fantasy novel and couldn't put it down and ended up reading like 4 or 5 hours straight. On the flip side when I read nonfiction or textbooks it's hard to push myself to keep learning.
Read better non-fiction, then?
In particular, read something that has nothing to do with your job once in a while.
In short: you should start reading more books if you want books to hold your attention for longer.
If you expect books to grab your attention away from games--not happening. Instead, make a resolution to stop gaming and stick to it. You'll have plenty of time for reading and other activities.
You might not be reading the right books? But also -- getting into a reading habit takes a small amount of patience if you are used to the intense stimulation of game.