This is still a lot more work than in many countries, and you still need to either fill in a paper 1040 (plus state taxes where appropriate, and some of those (cough CA) are far from simple), use tax prep software, or someone like H&R Block.
In the UK, if you're in the majority of people who have one job and straightforward finances (e.g. not renting property, no CGT, etc) you need to do nothing at all for your taxes. Your employer deducts tax from your wages and that's it. I guess technically you should verify that your "tax code" (the mechanism used to inform employers of what needs withholding) is correct but again, unless your situation is more complex that is a standard figure shared by the rest of the employed workforce.
My parents never filed a return in their entire lives.