Mine (as of last week) is Autism Spectrum Disorder Level 1. Asperger's syndrome is the old name for the same thing, mostly ditched because it doesn't make sense to just decide that an arbitrary segment of the same continuum of symptoms needs a whole other name (especially when people on the border between Aspergers and Autism would get a different diagnosis depending on who you asked, because it was so poorly differentiated). Some people also object to the name because Hans Asperger worked with the nazis, but it's mostly because it doesn't make sense as a separate category.

Level 1 can be referred to as "High functioning" or "low support needs". I've seen some people say we shouldn't say "High functioning" any more, but I don't see a real problem with it, and my assessor used the term so apparently it is still used by some professionals. "Low support needs" is also commonly used (and seems more common on up-to-date official material), and some people prefer it because instead of categorizing people according to the function they can serve in society, it thinks about people in terms of how much help they need, which is less dehumanizing and more compassionate. Just like Hans Asperger, there are nazi-related objections as well - apparently the term originates in differentiating "high functioning" people who could serve a role in society from "low functioning" people who would be sent to the gas chambers. Nobody who was personally affected by those implications 80 years ago is actually objecting to the terms today though, so I don't really see why it should matter.

Basically, "High functioning autism", "low support needs autism", "level 1 autism spectrum disorder" and "asperger's syndrome" are all the same thing. The official diagnosis in most health systems is Autism Spectrum Disorder, but you might find it useful to specify that you're high functioning, and if you're talking to someone who isn't up to date on the terminology it may be easiest to tell them you have aspergers, because they might think that "autism" only applies to level 2 or 3 autism spectrum disorder (people who have much more visible symptoms and a lot more difficulty with day to day life, often including intellectual disabilities), which might confuse the person you're talking to.

I just say I'm autistic and have autism spectrum disorder level 1, because I like using the official terms for things and am comfortable explaining if the person I'm talking to has misconceptions, but I think it's fine to use whatever terminology makes things easiest for you. I also use the term "high functioning autism" if I need to explain what Level 1 means.

(While we're really getting into the weeds about terminology, there are people who prefer to say "I'm an autistic person", not "I'm a person with autism", because it emphasizes that autism is a core part of who they are, not something separate that they have. There's also people who prefer the opposite, because they want to emphasize that they are a person first of all, just like everyone else. Some people also prefer to call it a condition rather than a disorder, to show that there is nothing wrong with being autistic. I don't think I've seen anyone who has these kind of preferences actually get mad about it though, as far as I can tell people are pretty accepting of whatever works for you)