ODDTAXI (This is the one you're looking for)

The Rose of Versailles (This one also has good politics near the end)

Cowboy Bebop

The Tatami Galaxy

Ping Pong the Animation

Neon Genesis Evangelion (Grounded? No, but I think its directing style is more film-like than most other anime)

Kaiji

Akagi

Death Note (maybe)

Steins;Gate (maybe)

Sonny Boy (maaaaaybe)

That's what I got, idk if all of them fit the category exactly. Odd Taxi definitely feels the most "TV-like".