Twilight Princess is basically Ocarina of Time on a grander scale. It's a better game, no doubt about it. The only thing Ocarina of Time did better was the intro. Wind Waker is one of the most gorgeous games of the generation and I also consider it to be better than Ocarina of Time. Majora's Mask is hard to place for me, but it's one of my favorite Zelda titles.

The GC also had two great Metroid Prime titles which is a lot better than no Metroid games on the N64.

Paper Mario: The Thousand Year Door is a more fleshed out RPG than Paper Mario on the N64. Bigger and better on every level.

Super Smash Bros. Melee is also considered to be vastly superior to the original.

Mario Kart: Double Dash is again much better than Mario Kart on the N64. Better racing mechanics, better battle mode and I loved the two racers per kart and the unique item weapons that came with them. It also had 4-player splitscreen running on 60FPS.

Fire Emblem: Path of Radiance is one of the best Fire Emblem games and the N64 didn't even have any entry in the Fire Emblem series.

The GC also had great horror games like Resident Evil 4 and Eternal Darkness. I don't remember any decent horror games on the N64.

F-Zero GX was also a pretty good racer game. I don't remember an F-Zero game on the N64, but I could be wrong.

As for new Nintendo IPs we had Pikmin and Animal Crossing on the GC versus Super Smash Bros. on the N64.

The GC also had decent third party support like Tony Hawk Pro Skater, SSX, The Lord of the Rings: Return of the King, Viewtiful Joe, Resident Evil remakes, Metal Gear Solid remake, Resident Evil 4, Soul Calibur 2, Prince of Persia: Sands of Time, Star Wars Rogue Leader: Rogue Squadron, etc.

N64's third party support was crap. And Star Fox isn't a great franchise anyway, who cares if the GC ones weren't as good as the one on the N64.

Nope, the GameCube port of RE4 had content cut that was available on the PS2 and Wii releases, plus the controls were junky.

The Mario Kart and 3D Mario games were the worst in the home console franchises, by far. The other games I couldn't care less about. Some of those games, like Crystal Chronicles were among the worst games I played that generation.

Since you are counting ports, a bunch of those games were also on Wii U (Metroid Prime 1-3, and every Zelda), plus a significantly better iteration of Mario Kart, and Xenoblade Chronicles X which is much more interesting than anything else on GameCube. 

It was aimed at everyone. Nobody would have put core games on it if it was only markeded as a system for casuals. It was easy and cheap to make games for, so it got alot of shovelware. Its not like every casual game did great and every core game did bad.

Casual games did better than core games as a whole. The sales werent even close to each other. If it wasnt made by Ninty it didnt sell alot. 

Twilight Princess is basically Ocarina of Time on a grander scale. It's a better game, no doubt about it. The only thing Ocarina of Time did better was the intro. Wind Waker is one of the most gorgeous games of the generation and I also consider it to be better than Ocarina of Time. Majora's Mask is hard to place for me, but it's one of my favorite Zelda titles. I'm not sure if TP is a better game than Ocarina, but it wasn't so groundbreaking. Wind Waker, although I find it great and with a nice art style, is not better than Ocarina (few dungeons and worse pace in my opinion)

The GC also had two great Metroid Prime titles which is a lot better than no Metroid games on the N64. 100% true

Paper Mario: The Thousand Year Door is a more fleshed out RPG than Paper Mario on the N64. Bigger and better on every level. OK, but it's easier to build over the foundations of previous games.

Super Smash Bros. Melee is also considered to be vastly superior to the original. Same as above.

Mario Kart: Double Dash is again much better than Mario Kart on the N64. Better racing mechanics, better battle mode and I loved the two racers per kart and the unique item weapons that came with them. It also had 4-player splitscreen running on 60FPS. Never played MKDD (although I didn't love MK64 either). Anyway, GC doesn't have DKR, that is the best N64 kart racing game.

Fire Emblem: Path of Radiance is one of the best Fire Emblem games and the N64 didn't even have any entry in the Fire Emblem series. OK

The GC also had great horror games like Resident Evil 4 and Eternal Darkness. I don't remember any decent horror games on the N64. It had Resident Evil 2 and Shadowman.

F-Zero GX was also a pretty good racer game. I don't remember an F-Zero game on the N64, but I could be wrong. It had F-Zero X, graphically wasn't a beast but, if I remember right, it ran smoothly at 60fps. It had a lot of futuristic (and not futuristic) racing games, though (Wipeout, Beetle Adventure Racing, Wave Race, Extreme-G, World Driver Championship...)

As for new Nintendo IPs we had Pikmin and Animal Crossing on the GC versus Super Smash Bros. on the N64. Actually Animal Crossing first appeared on N64 (only for Japan, though). N64 had many other new IPS: Mario Tennis, Mario Party, Goldeneye, Perfect Dark, Banjo Kazooie, Wave race, 1080 Snowboarding, Paper Mario, Sin&Punishment...)

The GC also had decent third party support like Tony Hawk Pro Skater, SSX, The Lord of the Rings: Return of the King, Viewtiful Joe, Resident Evil remakes, Metal Gear Solid remake, Resident Evil 4, Soul Calibur 2, Prince of Persia: Sands of Time, Star Wars Rogue Leader: Rogue Squadron, etc.

N64's third party support was crap. And Star Fox isn't a great franchise anyway, who cares if the GC ones weren't as good as the one on the N64.  Third party support wasn't crap, the problem is that it came from SNES support that was awesome. N64 had Resident Evil 2, Rayman 2, Rogue Squadron, Tony Hawk Pro Skater, Mortal Kombat, Turok, Duke Nukem, Doom, Quake, Forsaken, Shadowman, Ogre Battle, Goemon, Bomberman... Many of them as exclusives.

Also N64 had Rare support. GC doesn't have anything like Goldeneye or Perfect Dark, plus Banjo Kazooie, DKR, Blast Corps, Conker...

Well thats been true since the N64 though...