In a world where everything is described with superlatives, it appears that only a grand gesture will get you attention.
Just say hello. Say it in grocery store lines, at coffee shops, during breaks and in elevators. You don't need to be clever or funny, just sincere. Say hello; listen to the response if you ask a question; don't keep walking by if you ask them a question (even "how are you?").
Write one email a day to someone just to say hello.
That's networking at its finest. That's staying connected. No transaction; no request. Just let someone know you were thinking of them.