The phrase "new minigames" refers to small, short and entertaining games or activities that have been recently developed or added. They often provide a fun and different experience for players. Full definition
Boss Battle is a brand new Minigame where up to four players must put their differences aside and combine their powers to defeat a series of classic Mario boss characters to collect Mini Stars, leading to a final showdown with Mario's ultimate nemesis, Bowser. (mariopartylegacy.com)
According to the launch info, Eyepet & Friends will allow players to simultaneously take care of two monkey - dog hybrid monstrosities; along with new minigames, social features and full Playstation Move functionality. (dealspwn.com)
You can play more than 80 new minigames in the most recent Mario - themed party game, Mario Party 7. (gamefaqs.gamespot.com)