The one I had was a regular softtop convertible. It was a 1-series, specifically a 128, which represents 1-series with 2.8 liter engine (even though it's actually 3 liters, but that's a whole other thing). In 2011, I ordered it new.
The car I just got is a 328 (3-series, 2.8 liter), with a hardtop. Back in 2011, it went for about 15 grand more than the 128 I bought, which put it way out of my league.
The hardtop is nice, especially in the winter, and it won't rip, puncture, or crease like a softtop. The downsides are that when down, it uses up most of the trunk, and the entire trunk lid opens, so the body needs reinforcement, adding weight. Also, it can take more time to go up and down, although this one takes only 22 seconds. But nowadays, most convertibles are hardtops.