I had a lot of fun with Baby Names. It wasn't complex, but rather, a proof of concept for a bunch of students I was teaching.
My advice to them was to build a portfolio to show their skills, and their complaint was but where can I get data? Data is everywhere you child! Find something you're interested in, and find the story. That'll be far more compelling than how well you scored on a kaggle dataset.
As proof, I wrote up that piece in one day. Nothing more than a name, a gender, a year, and a count. Four measly columns, tons of untapped potential. Now stop whining and go show me something.