This thread is over 4 years old. That's quite a bump. We have rules against necroposting like that, but I'll let it slide for now.
Anyway, are you confused about why your MD5 hashes are different from the ones posted above? MD5 hashes should be unique for every GC game. If you calculate the hash of SSX 3, it should be different from Wind Waker, or Twilight Princess, or Melee or anything. Even different regions. Even changing a single byte in a game should give you a new MD5 hash. So it's not unexpected that your hashes don't match those posted above, because different games are being hashed.
At any rate, the hash is supposed to be a tool to help you see of a game was dumped correctly. That is, to help tell you if the file on your PC is a 1:1 copy of the disc, no errors, no problems. A 1:1 copy will have exactly one and only one true MD5 hash. Lots of people dump copies of their games and generate hashes for databases. To tell if your game file is a 1:1 copy, grab your MD5 hash from Dolphin, then look up the MD5 hash of your game on a website like Redump.org. If you hash and Redump's hash match, your game file is okay, and not the source of your problems in Dolphin. If they don't match, this is a problem, and you'll need to Redump's your disc.
Anyway, are you confused about why your MD5 hashes are different from the ones posted above? MD5 hashes should be unique for every GC game. If you calculate the hash of SSX 3, it should be different from Wind Waker, or Twilight Princess, or Melee or anything. Even different regions. Even changing a single byte in a game should give you a new MD5 hash. So it's not unexpected that your hashes don't match those posted above, because different games are being hashed.
At any rate, the hash is supposed to be a tool to help you see of a game was dumped correctly. That is, to help tell you if the file on your PC is a 1:1 copy of the disc, no errors, no problems. A 1:1 copy will have exactly one and only one true MD5 hash. Lots of people dump copies of their games and generate hashes for databases. To tell if your game file is a 1:1 copy, grab your MD5 hash from Dolphin, then look up the MD5 hash of your game on a website like Redump.org. If you hash and Redump's hash match, your game file is okay, and not the source of your problems in Dolphin. If they don't match, this is a problem, and you'll need to Redump's your disc.