Outlander 3: Voyager by Diana Gabaldon
Romance Time Travel of 1993
Bodice rips are a more workaday mode of time travel than time ships.
Tempest in Time by Eugenia Riley
Two Hearts in Time by Eugenia Riley
Stolen Brides 1: Forever His by Shelly Thacker
No Time Travel. Move along.
Tomorrow Calling by Tim Leandro, 1993 [alternate timelines ]
Arcadia by Tom Stoppard, 13 Apr 1993 [parallel stories from different times ]
“The Four-Thousand-Year-Old Boy” by Lawrence Dyer, Interzone, Jul 1993 [immortality ]
Muddle Earth by John Brunner, Sep 1993 [long sleep ]
Demolition Man by Marco Brambilla, 8 Oct 1993 [long sleep ]
Blue Flame by Cassian Elwes (Elwes, director), Dec 1993 [no definite time travel ]