Currently, most of the jobs I am looking for have "3+ years of experience", which is just not possible for a new graduate. Does that mean I don't work anymore, or what?
Another thing, go to job interviews. Even if your skills don't fit. You need to get used to the process. Getting a job in your chosen field is not always easy.
I would look for junior roles, but if there is an offer that sounds interesting, just give it a go. I have learnt that these requirements are often not that strict and once you can talk to the people, they do not matter at all.
As far as job titles go, you can search for data scientist roles.