I can think of two ways, but both are long term solutions.
First, you could work to achieve a large (large) circle of collaboration in your field, so that people think of you and, perhaps, invite you for a visit. You might be asked to talk to students as part of a collaborative visit. Some of those might be paid, but not likely very many. Conferences are good for finding people with similar interests. And, with collaborators, you can think in terms of mutual invitations to speak, or even exchanges.
Second, you could work to become so dominant in your field's knowledge base that people you don't know think of you. That could be in academic publications or in the popular literature. Linus Pauling got a lot of such invitations, for example, as did Paul Erdős. Everyone knows about your accomplishments and wants to hear what you have to say. Carl Sagan was another example.