This is easy and quite quick.
Each Video Game costs 12 blue recycling symbols and there are only 4 of them, so you need 48 blue recycling symbols in total. You will see these symbols spread around the levels and simply touch them to pick them up.
To buy them, just go into Story -> TLC and they are listed there. The names are...
* Feed Me Munchy
* Intergalactic Space Princess
* Assault Android Cactus
* Satellite Reign
So just play enough of the game until you have enough and as soon as you've bought the 4th game, the achievement will pop.