How do i get adhesive off a new ceramic dish?

Benzine.

Goo B Gone

charcoal lighter fluid

Bestine—aka benzine [benzene with an “e” is something altogether different]. Acetone or nail polish remover works too.
@dpworkin good catch

A little bit of oil, even vegetabe will do. Let it sit on the adhesive for a little while and then gently scrub off with soap and water.

I use a little lighter fluid. It works great!

Also an alcohol pad…

Usually a little soap and water or alcohol does the trick.

If the finish is delicate, use peanut butter. Rub some into the adhesive and let it sit for a while. Then use your gentle scrubbie thingy again.

Acetone… fingernail polish remover. There might also be a product at a pharmacy that takes off band-aids (otherwise known as plasters in the other English speaking world). This product dissolves the adhesive and makes it easier to remove the band aid on kids. I always have it handy.

If you are not big on solvents, a hair dryer on high could soften the adhesive to where you could wipe it off. Otherwise rubbing alcohol should work too.

Baking soda. Wet your finger, dip it in the baking soda, and rub it off. I ran a cleaning business for 30 years, and I always kept it in my cleaning supplies. I used it to remove everything from black heel marks and crayon, to detailing plastic coffee pots. It never ever scratches anything.

Incidentally, for detailing coffee pots and other plastics, use an old wet toothbrush dipped in baking soda. Brush off and polish dry, or rinse with water. Works like a dream.

Essential oil of Tea Tree You certainly have no shortage of options to choose from :)

Toothpaste and brush, Coca Cola, or as @snowberry says.

@YARNLADY toothepaste is an abrasive

For me, I’ve used rubbing alcohol or soaked an item in hot water for a few minutes. Works like a charm!

Some answers here suggested benzene or acetone. While Benzene and acetone will work, note that they are both a carcinogens. Not maybe, they CAUSE cancer. A far safer choice is “Goo-Gone”
http://www.officedepot.com/a/products/327686/Goo-Gone-8-Oz/?cm_mmc=Mercent-GoogleCleaning_and_Breakroom_-327686
made mostly from orange peel oil.

alcohol or goo gone (in the hardware or cleaning aisle of a walmart, kmart or supermarket).

Another vote for Goo-Gone.

A Sponge with Alcohol ( I hope it works)
greets pupsdruese