Here is the full list of all 13 Shipped achievements.
Play a match for the first time.
Escape from the stage (Play mode).
Watch the intro.
Complete arcade mode as Tofe.
Complete arcade mode as Nobu.
Complete arcade mode as Taka.
Complete arcade mode as Waba.
Complete arcade mode as Miki.
Complete arcade mode as Lico.
Complete arcade mode as Naru.
Complete arcade mode as Pita.
Get one star on all the challenges.
Get two stars on all the challenges.