Super Mario 64 DS is a rather unique title in the Mario series. It is by far the most unique remake of any mainline Mario title, having numerous differences to the point that it feels like a completely different game at points. Name every star that had the title changed from the original game. This also includes stars that are completely new. However, stars that have the same title but are under a different mission (for example, Find The 8 Red Coins is mission 6 in the DS version instead of mission 4 in the N64 version), won't be on here. The number column refers to the number of the mission on DS, and the original counterpart or replacement column refers to the mission that it replaces (or is most similar to) from the original (note that it is NOT the mission that shares the number in the original), and since one mission is added to every stage, that means that one per stage will not have a replacement. I hope that wasn't confusing; sorry if it was.
Special courses and secret stars, including new ones, are NOT going to be included, because they are all still called "One Of The Castle's Secret Stars".
A lot of these just add or change a single, minor word (mostly the), so I recommend just experimenting with some of those that have an equivalent so you have a higher chance to get it right.