What are some gun rights?

Owning a weapon. (within limits)

Carrying a weapon. (often needing special permit)

Using a weapon. (for self-defense)

It's so simple, I'll direct you to the US Constitution to read it yourself. Each state has its own laws of interpretation of said constitutional law, usually clarifying or muddying up the interpretation of self-defense, but the constitution is otherwise as explicit as an American citizen could expect. If you are not an American citizen, the cards are guaranteed to be stacked against you, whether you are innocent or not.

In Arizona, there are very few restrictions on gun owners.

You don’t need a permit to purchase a handgun or rifle. The state doesn’t require ownership registration. And you can carry a handgun, either concealed or openly, without a permit.

Actually, There are NO "Gun rights".

The people have a right to everything, until such time as a group with power decides they do not.

The founders of the United States, and writers of the Constitution upon which it is based, had finished Seven Years of Armed Insurrection against their sovereign King and his representatives running the king's colonies.

In their endevours to maintain a government that would not, could not, reestablish the kind of suppression they had endured under the king they establish 10 amendments to their Constitution to limit the power of Government.

In the two hundreds plus years the Federal Government has (since 1860s) been trying to reduce the ability of the Citizens to interfere with and increase the Power of the Federals.

It took Seven Years for the colonial insurrectionists to wrest power of self-government from the king, If the people give up their freedoms in the name of "National Security" it may take decades, if ever, to get them back from a much better armed government.

The U.S. Constitution is Not a Law, it is a suggestion of what laws should consider when enacted.

A well regulated militia being necessary to the security of a free state, the right of the people to keep and bear arms shall not be infringed.

The Right to Bear Arms. That's all I've got.