As far as I know, casual sex have been very limited in Star Wars, at least for Jedi. Jedi Padawan Kira Carsen mentions that, ''The [Jedi] Council can grant Jedi the right to 'attach' under certain circumstances . . . only Jedi who were raised by the order from birth get permission.'' Though any such relationship, formally declared, will be heavily monitored, reviewed monthly. The two would be kept apart from each other and only allowed to meet on occassion.
Though all player-based decisions, there are many such options in Star Wars: The Old Republic.
Most of these romances can be seen in: here.
Ki Sazen, a fallen Jedi Knight, can have casual sex once with the male Imperial Agent Cipher Nine.
Any male Republic aligned character; including Jedi Knight & Jedi Consular, can have casual sex once with a civilian Deera Ulyette.
The player-controlled female Jedi Knight can have casual sex multiple times with Doctor Archiban Frodrick Kimble (a.k.a.: Doc).
The player-controlled male Jedi Knight can have casual sex with Jedi Padawan Kira Carsen once, then the relationship complicates due to not qualifying the ''Jedi relationship'' requirements where the choice to continue or not is presented.
The player-controlled female Jedi Consular can have casual sex with Republic soldier Lieutenant Felix Iresso once.
Though arguable if emotionless, the player-controlled male Jedi Knight can have relatively casual sex once with a civilian Ranna Tao'ven.
The player-controlled female Jedi Consular can have casual sex with Doctor Tharan Cedrax once, a person who is in a semi-committed relationship with a sentient A.I..
There can be some more romances hiding in the expansions.
Other than in Star Wars: The Old Republic, one or twice I know of is:
Jedi Knight Etain Tur-Mukan, who was in a relationship with a clone commando, likely only had casual sex. But then, the commando did ignore Order 66 for her.
The fallen Jedi Darth Raven as a brainwashed Jedi Knight, once more, can have a ''massage'' from female slaves only in Star Wars: Knights of the old Republic. Though not known exactly what the massage entail; there is that innuendo.