So currently without a GFX Card

A big +1 to FTL. Also, after you've played it for a while you should check out the captain's edition mod for it.

Prison architect is another great game that would probably run just fine on the integrated GPU

Finally, I will give a very hesitant recommendation for Just Cause 2.
The game is amazing, but it may be slightly too much for your current situation. When my laptop was running the game only on the integrated Intel HD4000 GPU it would run the game at its very lowest settings at 1360*768 at around 25-35FPS everywhere except in the city where it dipped into the low 20s. I don't know what that would mean for you though
 
FM & Minecraft were always my goto games over xmas if I didn't have my rig.

Rogue Legacy has been my big fave recently in indie stuff recently, worth a go if you're into that style of game.

Sim City 3000 as well.
 
+1 for MineCraft hours of fun there with mods plus its multi-player
+1 for FTL as well

but you also might enjoy : metal fatigue(its a classic)
3 layers of combat from orbital to ground to caves, mecha vehicle air and orbital combat with ability to jump between all there. quite novel for a game especially considering when it was produced!!

Hostile Waters: Antaeus Rising

Sid Meier's Civilization® V - lots of people seem to enjoy this but i haven't tried it recently or been able to dedicate time to get into it.
 
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