Personally, I've always liked the idea of a 'standard deduction'. People with a steady paying job for the whole year, and simple tax affairs, don't have much of a reason to fill out a tax return given how much data our Tax Office pulls in from other sources (e.g. your bank interest gets pre-filled). The longest part of the whole exercise is claiming all those little work-related deductions here and there. For most people I don't think this ever exceeds $1000 total.
So if the government just gave everyone a default $1000 deduction, combined with pre-filling, filing a tax return for most people would be a simple matter of looking at the summary and hitting 'agree'. You could even take it one step further: if you don't fill out a tax return the government assumes you agree that your default return is correct.
We almost had this in Australia [0]. It was a measure in our 2010-11 Federal Budget [1], but we didn't go through with it for.... reasons...
[0] And there's good reason to believe it would have radically simplified things. I recall 'tax agents' really hating the idea for some strange reason.
[1] http://www.budget.gov.au/2010-11/content/bp2/html/bp2_revenu...