Drive down to Lili’s restaurant in Berat and order everything on the menu (it’s small), and visit the castle while you’re there. It’s well worth it. You will need to make a reservation. It’s probably the most unique dining experience I’ve ever had, and the food was exceptional.
You can visit Bunk’Art in Tirana and then take the cable car up the mountain afterwards.
Lamar Tirana had some incredible sea bass.
Odas Garden is frequently recommended for local food to tourists but I found it to be overpriced and the dishes were way overcooked, but YMMV. The atmosphere is pretty unique. There are far better small time restaurants around for local cuisine (can’t remember the names).
My fav dish was Lakror, but it can be hit or miss in Tirana.
Do the free walking tour in the main square / Skanderbeg square.
There are bakeries everywhere, getting up early and walking down to the nearest bakery and getting fresh coffee and a pastry / burek and walking a bit in the sun is such a good way to start the day.
And I second the suggestion to go to Himare, we went via Vlore along the coast and down to Himare. They’ve built a new tunnel, I highly recommend avoiding it (I've heard it's closed now for final works anyway) and going over the mountain, there’s an amazing view point next to Mt Cika.
Get up to Montenegro if you can if you love scenic drives.
Tirana is nice, I suggest to go around for the Blocku (the neighborhood that during the communism was only for the nomenclature) it's really cozy.
Just outside Tirana there is an area with several artificial lakes, you should go there for a relaxing day.
If you have more time, I suggest to visit Girokaster: it's a castle city 2 hours far from Tirana, where Enver Oxha was born.
For food I really suggested a restaurant called Oda, not far from Skanderberg square in Tirana: it's a traditional Albanian house where you can taste all the Albanian dishes.
What was your favorite Albanian dish?