However my mother also made me an authorized user on her Visa account when I was 17 This helped me have a 788 Credit score by the time I bought my first house at 25 I would just recommend to people like @Laura Janosko to be added to someone's account for this reason.

I'd just want a copy of your passport/visa and any proof of income or job offer letter.I'd also want you to get a bank account in your name with a US bank. 

They should have asked to photocopy the passport + visa for their records.

And international students will have passports with visas. 

@Alexander Felice just because a bar or any other place of business can ban guns from the establishment why would anyone want to ban an american from a constitutional right.... weather if your room mate or if your a mogul will hundreds of properties a tenants only responsibilities in my eyes are to pay rent on time and return the unit in as good a condition they got it in... political issues and personal beliefs aside if your are providing someone a home why would you want to cause a conflict with a tenant over personal beliefs.... a gun is tool just like a hammer and if i had a room mate who woke up at 3am and decided to murder me in my sleep i would hope he shoots me in the head instead of bashing me with a hammer a bunch of times.....If your concerned about guns and other tools than maybe you should move to some european nanny state and pay 2 times the taxes 4 times for the cost of gas but hey you'll get free health care but you won't be able to get a job because they have strict work visa requirements and people out there don't hire illegals like we do here so take your pick... but if your going to live in this country and provide other people a place to live you shouldn't be limiting religious freedoms or rights to protect themselves or speak freely... and regardless of what you feel about the topic its BAD FOR BUSINESS and we are all here for advice in investing right?

Students and temporary visa holders fall into this category.There are also many people who reside in the U.S. illegally who do not have a valid SSN or ITIN.

New tenant asks if a non-family member can move in (friend of fiancée).

I just got one - a father and son (and pregnant fiancee, God help her) duo - with 3 entire pages of  convictions and arrests (repeated offenses) for everything you can think of : burglary, assault with a deadly weapon, domestic battery, felony battery, drug possession, that's not even all of it.

And, as I say, someone on a visa with no credit, is very minimal risk in my experience.Undergrads will cause damage, but money isn't usually a problem because Mom and Dad pay. 

I am an European Citizen on a H1b visa, applying now for Green Card, which I will get most likely in 2-3 years.