Due to Pro Wrestling Wave and Ice Ribbon holding business partnerships, Iida competed many times in the latter promotion's events. She made her first appearance at Ice Ribbon New Ice Ribbon #253 on January 8, 2011, where she fell short to Hamuko Hoshi.[9] At Ice Ribbon 19'O Clock Girls Pro Wrestling #65 on March 22, 2011, she unsuccessfully challenged Tsukasa Fujimoto in the semifinals of a tournament to crown a new IW19 Champion.[10] At Ice Ribbon New Ice Ribbon #666 on July 29, 2015, Iida competed in a gauntlet match won by Tsukasa Fujimoto and also involving various other opponents such as Pantera Rosa, Akane Fujita, Aja Kong, Arisa Nakajima, Konami, Leon, Tsukushi Haruka, Mayumi Ozaki and others.[11]
Iida competed in various of the promotion's signature events such as the Catch the Wave, in which she made her first appearance at the 2011 edition of the event, where she fought in the Young block, scoring one point after competing against Kagetsu, Sawako Shimono and Nao Komatsu.[15] Three years later at the 2014 edition, she competed in the "Tsuyayaka" block where she scored a total of six points after going against Hikaru Shida, Hiroyo Matsumoto, Misaki Ohata, Mio Shirai, Moeka Haruhi and Sawako Shimono.[16] She made her last appearance at the 2015 edition where she competed in the only block available in which she scored a total of five wins, one draw and three losses after squaring up against Kana, Hikaru Shida, Yumi Ohka, Cherry, Ryo Mizunami, Misaki Ohata, Kaho Kobayashi, Sakura Hirota and Rina Yamashita.[17]
As for the Dual Shock Wave, Iida made her first appearance at the 2012 edition of the tournament where she teamed up with Ayumi Kurihara as "Kurigohan", placing themselves in the block B where they scored a total of two points after competing against the teams of Kurigohan (Shuu Shibutani and Syuri), Shidarezakura (Hikaru Shida and Yumi Ohka), and 1st Impact (Makoto and Moeka Haruhi).[18] At the 2014 edition, she teamed up with Sakura Hirota as "Sakuragohan" and made it to the finals where they fell short to Revolucion Amandla (Kyoko Kimura and Tomoka Nakagawa) in a match also contested for iida and Hirota's Wave Tag Team Championship.[19] At the 2015 edition, Iida teamed up again with Hirota, this time receiving a bye to the semifinals where they fell short to Las Aventureras (Ayako Hamada and Yuu Yamagata).[20] Iida made her last appearance at the 2016 edition of the tournament where she teamed up with Yuki Miyazaki and fell short to Dynamite Kansai and Rina Yamashita in the first rounds.[21]
Iida retired from in-ring competition on May 4, 2018, at an event promoted specially for her farewell, the Final Battle: Mika Iida Thanks For The Meal!, where she fell short to Hiroe Nagahama in singles competition.[22]
^ ab"WAVE今年の波女は2度目の戴冠、桜花由美!". Weekly Fight Miruhon (in Japanese). 21 July 2015. Archived from the original on September 27, 2022. Retrieved July 28, 2023.