Some Turkish dramas have youtube channels which have subtitles either has soft subs that you have to turn on or sometimes the first episode ( I don't know if more than the first one ) is subtitled as hard subs.
Try to find them there, I guess that you have to search for the original Turkish names.
I don't know if there are any active rubbers because I remember having seen some who were not really active anymore.
In general it is pretty hard to find ones who are fully translated or are translated as fast as Korean dramas and so on.
Movies that I have watched and liked sooooo much ( I am not really a Turkish dizi - we call them so in Turkish - fan )
Mucize ( has a happy ending but the story in general is sad and a true story )
Ayla ( also a true story where even some Korean actors and actresses played - like the small girl from Replay 1988 )
I can't remember how the other ones where called but I know of other people who loved
evim sensin ( which is a remake of a asian one I think ? )
benim Dünyam (which is the remake of a Indian one I think )
ShotaSidePart:
Never watched one but I wouldn't mind getting into them. Just don't know where to watch and I need eng subs...