Shuttles in Star Wars
The Empire uses Lambda-class shuttles to carry passengers and small amounts of cargo on various routes: ship to ship, ship to planet, and planet to planet. The Lambda-class seems to be distinguished from starships primarily by its size, as it is fully capable of interstellar journeys using its hyperdrive. Shuttles of similar design were in use in the Old Republic, as well.
Shuttles in Star Trek
Nearly all Starfleet capital ships and starbases carry a complement of shuttlecraft. These vehicles typically lack the speed and range of full starships, and many are not even equipped with FTL propulsion. Many are kept on board simply to ferry people between the ship and a planet when the starship's transporters are inoperative for some reason. Some, but not all, Federation shuttles are lightly armed and shielded. A few heavy combat shuttles do exist, the Delta Flyer being the best example.