Are you sitting at work waiting for someone to give you responsibility? Have you identified a process that needs fixing, a product that needs improving, a job not being done? Are you waiting for someone to promote you or to give you responsibility for something? If so, you’re going to wait for a long time.
Responsibility is taken, it isn’t given. Even if someone tries to give it to you, you don’t have responsibility until you take it. If you want something done, if you want a new role, if you want a promotion you just have to go out there and take it because no one is going to give it to you.
If you really want to get ahead, start doing your boss’s job.