I filed my tax returns through Turbo in the past and need copies of my returns from 2008-20011. Can I access these on the Turbotax website?
You cannot access returns that old on the TurboTax web site.
You can try getting transcripts or copies of returns from the IRS but, chances are, they will not have anything for 2008-2011.
See https://www.irs.gov/individuals/get-transcript