Most Romantic comedy shows tend to fall into the trap of the love triangle. To be fair, it's a good way to get drama, though in my opinion unless the love triangle is set up well (or turns into a Love Dodecahedron, like in Ranma 1/2), it gets incredibly annoying over time. Consequently, the first season of Ah! My Goddess appealed to me, thanks to the fact that any love triangles get nipped in the bud rather early on.
The show follows Keiichi Morisato, a good person, who helps little old ladies cross the street, young children find their parents money for the store, and so on. However, overall he's had a string of bad luck. This changes when a phone call he makes is re-directed to the "Goddess Help Line", after which a beautiful women named Belldandy bursts out of his mirror, and offers him a single wish. Keiichi responds, "I wish I had a girlfriend just like you." and just like that, she's become his girlfriend. Hilarity and romance ensue.
With a few exceptions, Keiichi generally isn't spineless for most of the show, and neither is Belldandy, though because Japanese society isn't as direct as American society, it comes across that they're both lacking a spine or otherwise wishy-washy. However, there are several occasions where both characters end up holding the "Spineless" and "Overly Naive" ball, respectively, which causes those episodes to suffer. Additionally, when the Belldandy's sisters, Urd and Skuld appear, the romance part of the romantic-comedy gets pushed to the back burner in favor of wacky hyjinks.
However, I enjoyed the show. The Japanese cast has a lot of chemistry to them, and the animators did a good job of getting this across. Keiichi and Belldandy come across like a couple that you're happy to see together. I'd say this is probably one of the best romantic comedy series of all time.