It might be a bit confusing, but Starliner is a capsule that Boeing has built for carrying astronauts and supplies to the space station.
Dragon is the SpaceX capsule that is intended to do (and has done) the same job, more or less. NASA wants to have at least two reliable ways to service the Space Station with crew and cargo. These normally launch from Florida.
Starliner capsule is intended to parachute land on the ground in the SW USA. Dragon capsule parachutes into the ocean and is recovered there.
SpaceX launched another Starship this morning, this one is still in 'beta testing' mode, and both the booster and the starship made it back into the oceans.
Starship is a rather large rocket and orbital vehicle built by SpaceX, launched from South Texas and still in testing (no humans on board) and it is intended to eventually be refueled in orbit after launch and then head off to the Moon and possibly Mars at some point in the future. That's the plan anyway.
Of course, China, Japan, Russia, the EU, and India all have space programs in varying degrees of capabilities. There are a handful of smaller countries working on rockets, missiles and various other bits of high-flying hardware.
It is an interesting time to be alive and see all of this.
