Formal:
* Приятно познакомиться. (Priyatno poznakomit'sya.) - This is the most common and formal way to say "It's a pleasure to meet you."
* Мне очень приятно. (Mne ochen' priyatno.) - This translates to "It's very pleasant for me," and is a more formal way to express pleasure.
Informal:
* Рад/а познакомиться. (Rad/a poznakomit'sya.) - This means "Glad to meet you" and is more informal. Use "Rad" for male and "Rada" for female.
* Приятно. (Priyatno.) - This is a shorter and more casual way to say "It's a pleasure."
* Приятно было с вами познакомиться. (Priyatno bylo s vami poznakomit'sya.) - This means "It was a pleasure to meet you," and is suitable for saying goodbye after a meeting.
The best option will depend on the situation and your relationship with the person you are speaking to.