The Museo De Bellas Artes is a great free museum. Tucked away in the 19th century suburbs of the city, it costs nothing to gawp at 2,000 paintings by artists such as Goya, Velazquez and several other important Valencian artists from the 14th-19th centuries.
The building itself, a former seminary built between 1683 and 1744, is also pretty spectacular.
Calle de San Pío X 9
46017 Valencia, Spain
+34 963 870 300
museobellasartesvalencia.gva.es/
the location is actually next to the Viveros (Royal Gardens) on the banks of the now diverted old riverbed. Very easy to find and not tucked away.