Citymapper for iPhone is a great transit app that supports bus, rail, ride share, biking, and even walking.
Sometimes, at the bottom of all the transit options for directions you request, it also supports catapults, beaming, and jet packs (at least, those are the three I’ve seen in Chicago). Check the bottom of each screenshot for extra details or instructions. Yes, that’s Chicago Mayor Rahm Emanuel making guest appearances and getting botched in a transporter accident.
They even have animations and tips at the bottom once the trip is done, like “maybe a safety net would be useful.”