Whats some good games for my pc?

Solution
The Walking Dead
Guild Wars 2
XCOM: Enemy Unknown
Portal 2
World of Warcraft: Cataclysm
Call of Duty: Black Ops
Limbo
Left 4 Dead
World of Goo
World of Warcraft: Wrath of the Lich King
Portal
Half-Life 2: Episode Two
World of Warcraft: The Burning Crusade
Galactic Civilizations II: Dark Avatar
Bioshock
Call of Duty 4
Gears of War
Company of Heroes
The Elder Scrolls IV: Oblivion
Tom Clancy's Splinter Cell Chaos Theory
Half-Life 2
The Sims 2
Rome: Total War
Unreal Tournament 2004
Grand Theft Auto: San Andreas
World of Warcraft
STAR WARS: KNIGHTS OF THE OLD REPUBLIC
BEYOND GOOD & EVIL
CALL OF DUTY
Warcraft III: The Frozen Throne
PRINCE OF PERSIA: THE SANDS OF TIME
Warcraft III: Reign of Chaos
BATTLEFIELD 1942
GRAND THEFT AUTO: VICE CITY...
Any of the Source games I imagine (Half-Life 2, Portal 1+2, Left 4 Dead etc...)

Really, you should just look at what games you think you might enjoy and then to a quick google search for it. The integrated GPU isn't really made for intense games, but games from years past (maybe even some recent ones on low) should do the trick.
 
The Walking Dead
Guild Wars 2
XCOM: Enemy Unknown
Portal 2
World of Warcraft: Cataclysm
Call of Duty: Black Ops
Limbo
Left 4 Dead
World of Goo
World of Warcraft: Wrath of the Lich King
Portal
Half-Life 2: Episode Two
World of Warcraft: The Burning Crusade
Galactic Civilizations II: Dark Avatar
Bioshock
Call of Duty 4
Gears of War
Company of Heroes
The Elder Scrolls IV: Oblivion
Tom Clancy's Splinter Cell Chaos Theory
Half-Life 2
The Sims 2
Rome: Total War
Unreal Tournament 2004
Grand Theft Auto: San Andreas
World of Warcraft
STAR WARS: KNIGHTS OF THE OLD REPUBLIC
BEYOND GOOD & EVIL
CALL OF DUTY
Warcraft III: The Frozen Throne
PRINCE OF PERSIA: THE SANDS OF TIME
Warcraft III: Reign of Chaos
BATTLEFIELD 1942
GRAND THEFT AUTO: VICE CITY
NEVERWINTER NIGHTS
TOM CLANCY'S SPLINTER CELL
GRAND THEFT AUTO III
Medal of Honor Allied Assault
No One Lives Forever 2: A Spy in H.A.R.M.'s Way
BLACK & WHITE
HALO: COMBAT EVOLVED
MAX PAYNE
The Sims
Deus Ex
Baldur's Gate II: Shadows of Amn
System Shock 2
Planescape: Torment
Sid Meier's Alpha Centauri
Age of Empires II: The Age of Kings
Unreal Tournament
Half-Life
Grim Fandango
 
Solution
The AMD A10-5700 has the Radeon HD 7660D graphics core which is basically like a desktop Radeon HD 5570 graphics card. Not very powerful, but when it was released the Radeon HD 7660D was the most powerful integrated GPU.

You should be able to play Skyrim with mostly medium settings based on my tests with an Intel HD 3000 graphics core. Other games you can play at 1366x768 or 1600x900 with medium settings and decent performance are:

The Sims 3
Batman Arkham series
Mass Effect series
Dragon Age series
Fallout 3 and New Vegas
BioShock Infinity
Tomb Raider 2013
Borderlands 1 and 2
Far Cry 2
Crysis 2
StarCraft 2
Diablo 3