My favourite philosophical current is existentialism, which explores the (abescence of) meaning of life; important authors in this current are Kierkegaard (I hate him, but i have to admit it's thanks to him this current started), Sartre, Camus, and many others. It became more and more prominent during the XX century.
Homewever, my favourite authors are not from this current: I love the works of Plato, Aristotle (they're the very basic of philosophy), Nietzsche, Freud, Hume, and many others.
Then, there's modern philosophy, many of my teachers are estabilished philosophers, and some of the most important among the ones living in Italy.
If you want to try reading philosophy by yourself, I suggest starting from two famous names: Plato and Freud.
Plato has a complex philosophical system, but it's accessible by everyone, as it's writing is plain and simple (although you will find it heavy if you're not familiar with philosophy).
Freud invented pshychoanalisis, but his works cover many philosophical issues, and it's very interesting even for who doesn't know anything about philosophy or pshychology.
His most important work his "Interpretation of dreams": it's also one of the longest and most complex, but it's totally worth it. Give it a try if you want
Thank you