Seiken Densetsu 3=Secret of Mana 2
Technically that's not right...That's like calling the NES game Mother "Earthbound ZERO"...
Not to mention any of the madness w/the Fire Emblem game names...There is no actual "Secret of Mana 2", that's just the fan name for SD3.
I think silent protagonist just forgot to put a 2 on the second Seiken Densetsu he listed...that'd make his list right as far as I know though he didn't include the FFA name for Seiken Densetsu/Sword of Mana...but I could be wrong...
Seiken Densetsu = Final Fantasy Adventure (NA release) = Sword of Mana (remake)
Seiken Densetsu II = Secret of Mana (NA release)
Seiken Densetsu III = Secret of Mana II (Fan translation)
I personally don't know if LoM was SD4...I never played it...So I'll leave the rest of the list as silent protagonist put it...
Seiken Densetsu IV = Legend of Mana (NA release)
Seiken Densetsu DS = Children of Mana (NA release)