Talk to her about it. W/o blame, accusation, judgement... Maybe tell what you'd like to do, you and her... in public.
Or, maybe... discreetly make a move when you're with her in a public place... I dunno.
Tell her what you like, what you need... Ask her the same. And listen. Hopefully, she does too... listen, that is.

It doesn't sound like she's said, "absolutely not"... yet... right? You could ask her why she tells you about the other guys..?

People who love each other ought to be able to talk about ANYthing w/a goal of understanding. Very tough, tho... An ongoing challenge.