Sulfotransferase that utilizes 3'-phospho-5'-adenylyl sulfate (PAPS) as sulfonate donor to catalyze the sulfate conjugation of dopamine, small phenols such as 1-naphthol and p-nitrophenol and thyroid hormones, including 3,3'-diiodothyronine, triidothyronine (T3) and reverse triiodothyronine (rT3). 3'-phosphoadenylyl sulfate + a phenol = adenosine 3',5'-bisphosphate + an aryl sulfate + H(+) 3'-phosphoadenylyl sulfate + 3,3',5-triiodo-L-thyronine = 3,3',5-triiodo-L-thyronine sulfate + adenosine 3',5'-bisphosphate + H(+) 3'-phosphoadenylyl sulfate + 3,3',5'-triiodo-L-thyronine = 3,3',5'-triiodo-L-thyronine sulfate + adenosine 3',5'-bisphosphate + H(+) 3'-phosphoadenylyl sulfate + 3,3'-diiodo-L-thyronine = 3,3'-diiodo-L-thyronine sulfate + adenosine 3',5'-bisphosphate + H(+) 3'-phosphoadenylyl sulfate + dopamine = adenosine 3',5'-bisphosphate + dopamine 3-O-sulfate + H(+) 3'-phosphoadenylyl sulfate + dopamine = adenosine 3',5'-bisphosphate + dopamine 4-O-sulfate + H(+) Belongs to the sulfotransferase 1 family.