Hello Everyone, i would like to ask if my PC would run those games on the MSI Ex-628. Specs:
Intel Core 2 Duo Inside
ATI Radeon 4670 1GB
4GB of Ram
Dolphin Version 3.0
Games: Wind Waker, Super Mario Sunshine, Smash Bros Melee
Sonic Adventure 2 Battle
I hope you can reply as fast as you can!

Those games will run....Don't expect full speed
Build a desktop with i5 4670k + MSI Z87 G41 or G45 or get the latest gaming laptop (i7 4700MQ) dude !
Which processor do you have, i.e. the chip number?
Also, which OS?
Too slow for most parts in SMS. The slowdowns will make the game very unplayable unless you use 64 bit Dolphin.
SSBM will be more playable, but you´ll still get some slowdowns.
Yeah, you should look at upgrading that computer.
If you can't spend much money right now, get an Intel P9500 CPU to replace yours, that will give a speed boost, while not amazing, will tide you over until you can get some serious new hardware: a laptop with an i7-4700mq or above, or a desktop with a i5-4670K/i7-4770K with a motherboard that supports overclocking.
It's still slower than my i5 which is quite slow for latest Dolphin
P9500 is not worth an ungrade . Do you have to disassemble your laptop for just small improvement (300Mhz -> 2-3 FPS gain) ? . It won't run those games full speed with latest Dolphin anyway (not even close)