When people talk about handheld gaming, they typically don't mention PC titles. Startup SMACH hopes to change that conversation with their upcoming SMACH Z and SMACH Z Pro, handheld gaming PCs able to play AAA Steam releases. SMACH has turned to Kickstarter for funding, and their initial goal has been met.
http://www.notebookcheck.net/SMACH-Z-handheld-gaming-PC-reaches-Kickstarter-goal.182616.0.html
They have it wrong though - for gaming you definitely need two analog sticks!