Not Updated For Current Season
Im not going to lie, veigar is EASY. I play him whenever i feel like getting a lot of kills. This build is really not that unique or anything. I have used it in ranked games and gotten pretty good results.
Baleful strike should always be your first ability. Its active is very useful. It gives you one ability power for killing a minion or champion.(At level 2 baleful, it gives 2 for killing a champion, etc like that) I now seem to have at least 80% or more of my minion kills with Baleful strike. This, also, is how Veigar can so easily reach well over 1000 ability power.
I know veigar isn't exactly the best middle character, but once you get the hang of him (which isn't hard) he can be one of the best middle character/ganking characters. Any AP character that lanes against veigar will have a terrible time once he reaches level 6. His ultimate ( scales off of his AP (at a 1:1 scale) and his opponents AP (also a 1:1 scale). Although this ability is useful for pushing back your laning opposition and or killing them, i would not recomend using it as a kill shot. It has no benefit to him in the long run. However, if you hit the opponent with Primordial burst, and then, when they have low enough health, hit them with Baleful Strike, it will grant extra AP.
The button mash
Basically, with Veigar, you need no skill at all. Stun the opponent, cast dark matter, then use Primordial, and baleful if needed. Its a quick kill. Basically no non-tank character would live through it. I've been able to one shot Tryndamere, AD Yi, Rammus, and even a Rammus with my ultimate.
Good luck, have fun. I dont really care if you like the build or not, let me know if you want. If you like it, then your welcome, if not, i dont care. Lol
Good luck, Have fun =D