Well it all depends on what genre you like but I'd suggest anime like paradise kiss, a little more adult themed than ghibli. 5 centimetres per second, film. Clannad, chihayafuru, not very similar to ghibli but a good watch. Nurarihyon no mago, kinda like spirited away but a little different. Princess princess is another good watch which I watched early on In my anime life. Robotics notes, psycho-pass are two more id suggest but they are nothing like ghibli.
Until you have an idea what type of genres you enjoy all you can do is watch 5 eps or so of various anime to see if you enjoy them.