The official name of this show is "Captain N and the New Super Mario World." But in the commercial eyecatchers, they call it "Captain N and Super Mario Bros. World."
Yoshi is off model in the series. Sometimes he has 3 scales and other times he has 4 scales.
On some episodes, the emblem on Luigi's cap changes from white to black for a few shots.
Princess Toadstool has red hair in the cartoon, but has blonde hair in the Super Mario World video game. This was likely a deliberate change to maintain consistency with older Mario cartoons, though it contradicts the game.