4Kids is notable for their cheesy voice actors and novice dubs. They practically ruined One Piece. So, the best choice is to go to the source of these shows: Japanese dubs. I'll admit, I liked Kirby and Pokemon. But 4Kids didn't do as good of a job as they could've with F-Zero.
F-Zero Falcon Densetsu (a.k.a. GP Legend) is a cool enough show in the Japanese dub. It goes into a little more detail, has better character development, and a cool story going on. Partially intended as a TV reboot, F-Zero may have slight differences from the games. However, that does not derive from the aforementioned qualities and it's notable great animation. The animators tried hard to make this look cool, and they never disappoint. The races are usually a little thrilling, and the character development helps bring more story to the show. Sure, it's no super-awesome chase scene like in carsploitation films, but it's got enough to keep you paying attention to some action, and a story. It could use a tiny bit of work, but nothing about the Japenese dub is "bad." It's just not a masterpiece. It's good, not amazing. However, it does please fans of the video games and it lasts for 51 episodes in the Japanese dub, and that keeps me busy.
If anyone's worried about similarities and differences between the games and the shows, that does not play much of a factor in the enjoyment of the show since many fans of F-Zero are pleased with it. I've been on F-Zero pages, and they like the show enough to translate it themselves on YT for people who want to watch all 51 Japanese episodes instead of the only 13 English dubbed episodes. 4Kids is lame.
F-Zero is no ultimate spectacle, but there's more than enough in the show to watch it. Likable, occasionally mysterious with a few great twists throughout (little or big, I'm not revealing any), F-Zero is mostly well-crafted, well-animated, and representative of the games enough to please fans.