There are a few Complete Works recordings of John Dowland's solo lute repertoire - all of them recommended.
Jacob Lindberg has so far recorded the complete solo works not once but twice!
BIS 722-724 John Dowland: The Complete Solo Lute Music (1994)
John Dowland The Complete Solo Lute Music (one LP of a box of five) Decca Florilegium (1980)
Paul O'Dette follow links to individual discs
Nigel North's series on Naxos