Here is the full list of all 42 Conga Master achievements.
Unlock Riot
Unlock Samuel
Unlock Dr.Mitt
Unlock MarsPeople
Unlock Purin
Unlock Foxy
Unlock Denise
Unlock Karby
Unlock Chuck
Unlock Hoagie
Unlock Elvira
Unlock Stephen
Unlock Taylor
Unlock Aurora
Unlock Otakon
Unlock Freddie
Unlock Jimmy
Form a conga of 101 dancers
Unlock the Dan
Clear UFO Party
Unlock Robin
Clear Lucky Strike Disco Bowling
Perform a x8 combo
Clear Magic Under the Ocean
Unlock Isabel
Unlock Toxin
Unlock Yuzuru
Clear Rolling Disco
Save 6 people from the UFO
Clear Popolon Theatre
Perform a x5 combo
Get a powerup for the first time
Enter a VIP area for the first time
Get a cat in your conga
Unlock Bethy
Clear the Secret Flamingo Club
Perform a x2 combo
Unlock Conga Heaven
Unlock all characters
Unlock Martin
Unlock Walter
Unlock all achievements