How do I find a list of last year's charitable donation in my state taxes?

Look at the worksheets that are part of the pdf of your state return.  We cannot be more specific since we do not know which of the thirty-seven states with a state income tax that you are asking about.

  You have to access your own account and/or  print it for yourself using exactly the same account and user ID that you used when you prepared the return.

https://ttlc.intuit.com/community/prior-year-return/help/how-do-i-access-my-prior-year-return/01/27010

Many people have multiple TT accounts and forget how to access them.  Log out of the account you are in now.

Account recovery

https://myturbotax.intuit.com/account-recovery/

https://ttlc.intuit.com/questions/1901535-forgot-your-turbotax-online-user-id-or-password

Or did you use the desktop version of TurboTax?  If so, the files are on your own hard drive or any backup device you used like a flash drive.

https://ttlc.intuit.com/questions/1901486-how-many-turbotax-accounts-do-i-have

https://ttlc.intuit.com/questions/1901535

https://ttlc.intuit.com/questions/1901659-find-your-tax-data-file-in-mac

https://ttlc.intuit.com/questions/1900721-find-your-tax-data-file-tax-file-in-windows

To get a copy of your previously filed returns prepared with online TurboTax https://ttlc.intuit.com/questions/1900748-how-do-i-get-a-copy-of-a-return-i-filed-in-turbotax-online

https://ttlc.intuit.com/questions/1900748-how-do-i-get-a-copy-of-a-return-i-filed-this-year-in-turbotax-online

SAVE YOUR TAX RETURN !

EVERY year before mid-October you should save a copy of your tax return as a pdf and print a copy of it for your records.  That way you will not be searching online frantically when you need it for a lender, FAFSA forms, your next tax return, etc. 

https://ttlc.intuit.com/questions/1900937-why-should-i-save-a-pdf-copy-of-my-return

https://ttlc.intuit.com/questions/1899779-what-s-the-difference-between-the-tax-data-file-and-the-pdf-file

https://ttlc.intuit.com/questions/1912466-how-do-i-save-my-return-as-a-pdf-in-the-turbotax-software-for-windows •

https://ttlc.intuit.com/questions/1912533-how-do-i-save-my-return-as-a-pdf-in-the-turbotax-software-for-mac•

Not all states allow charitable deductions.  Most that do, simply transfer the data from the federal charitable contributions work sheet.