As in accepted by the International Astronomical Union? I realize that most of the names are completely boring.
No. They all have a label or catalog number, but many easily visible stars do not have a name.
Gamma Cassiopeiae, for instance.
Except that this star is sometimes called Tsih, it’s chinese name, or Navi, after Gus Grissom. (read the link).
A better example might be Epsilon Persei, a star that I can;t find any name for.
http://stars.astro.illinois.edu/sow/epsper.html
For $14.95, you can name a star yourself …
I’d rather just burn my money.
And then there are some stars whose names are themselves little more than designations. The brightest star in the Southern Cross is named Acrux, for instance, which is just short for “alpha Crucis”, or “brightest star in the Cross”.
How much does it cost to name a galaxy? PG 1302-102 will soon be completely destroyed: the two giant black holes in its core are on the verge of colliding catastrophically. It would be a shame for this great galaxy to disappear with no name but “PG 1302-102.”
Big Boy? Fred?
It makes a nicer gift than some piece of crap on Black Friday.
I think it amazing that anyone would be gullible enough to think that the actual authority to name a star belongs to some guy named Rocky on the radio who promises that the name will be recorded and store in book form in the US Copyright Office…
Send me just $11.49 and not only do you get to name the star, but you get to own the entire star and all its planets, if any, as well! I’ll send you a fully legal quitclaim deed.
Huge discount if you choose to buy an entire galaxy.
Or our close neighbor, Proxima (literally “nearest” or “next”). And while around there, almost nobody calls Rigil Kent anything but Alpha Centauri.
You must get really crappy Christmas presents. Perhaps you’re on the naughty list.
Proxima isn’t naked-eye visible, though. It’s tough to pick out even with a telescope.
The fun fact about visible stars is their number. It’s a great way to demonstrate how bad we are at estimating large numbers. In fact, it’s not uncommon in my experience for people to simply refuse to believe it. Most people guess “millions.”
I propose septimus Prime. 
Depends a bit on how you want to define what you see of the Mily Way doesn’t it? Those are all stars even if your eye lacks the resolving power to separate them.
Obligatory *Buffy *quote:
Drusilla: I’m naming all the stars.
Spike: You can’t see the stars, love. That’s the ceiling. Also it’s day.
Drusilla: I can see them. But I’ve named them all the same name, and there’s terrible confusion.
When I decide to ask, “How many stars can I see even though I lack the resolving power to actually see them?” I’ll call you.
Considering it’s distance from the Earth (3.5b ly), it’s likely that it was already long gone before anyone ever conceived of the idea of “PG 1302-102,” “Big Boy” or “Fred.”
Zev Steinhardt
Exactly. Kind of takes the poetry out of it.
It’s actually a lovely trope. Doesn’t Jimmy Stuart propose to name a star after whats-her-name when they’re smooching on someone’s lawn in It’s a Wonderful Life? I’m sure others have in fiction and IRL.