Is there a word for being memorable?

Solution 1:

The straight-forward word is recognized.

recognize verb
to know someone or something because you have seen or heard him or her or experienced it before

The (somewhat narrow) distinction from remembered (or the similar recalled) — and the reason it fits the questions — is that something recognized has been seen (or heard) previously, whereas something remembered may be anything committed to memory — a piece of poetry one has learned, the derivation of the Pythagoras theorem etc.

N.B.
Also spelt recognise in British English from the second half of the 20th century.

Solution 2:

You can be known or recognized as the person who reads on the bus every day, but those don't carry the same meaning that you're after.

I would say that famous is more precise than anything else.

[Merriam-Webster]
1 a : widely known
// a restaurant famous for its French cuisine

To be famous is not just to be known, but to also be acclaimed and lauded—like a celebrity. The title of a once-popular TV show was Lifestyles of the Rich and Famous.

For a tagline, I would use get. It would be more idiomatic as the following:

Become famous.