In July 2000, Burning took part in a mass exodus led by Mitsuharu Misawa and left AJPW to join the newly founded Pro Wrestling Noah promotion, where it was rebuilt with Akiyama leaving the alliance and Kobashi taking several rookies under his wing.

[4][12] Burning remained together until July 2000, when Kobashi, Akiyama, Kanemaru and Shiga, along with several other wrestlers, all followed Mitsuharu Misawa out of AJPW, joining his new Pro Wrestling Noah promotion.

[18][19][20] In July 2004, Kobashi's newest trainee, Go Shiozaki, made his professional wrestling debut as a member of Burning, quickly establishing himself as a top heavyweight prospect.

[30] On December 3, 2012, the Tokyo Sports newspaper reported that Pro Wrestling Noah had decided to terminate the contract of Kenta Kobashi, who had suffered various injuries the past years and was at the time again sidelined from in-ring action.

[32] Noah president Akira Taue responded to the report, announcing that Kobashi would address his situation at Ryōgoku Kokugikan on December 9, while also confirming that the promotion was in negotiations with five wrestlers whose contracts were set to expire shortly.

[36] After parting ways with Noah, the five men made an unadvertised appearance for AJPW on January 26, 2013, announcing that they had joined the promotion, forming the third incarnation of the Burning stable.

[44][45] Also during the event, Kenta Kobashi made an appearance, publicly giving his blessing to the newest incarnation of Burning, while also announcing that he was joining AJPW following his retirement match as the new Pacific Wrestling Federation (PWF) chairman.

[49] Burning continued its winning ways on April 29, when Jun Akiyama won the 2013 Champion Carnival, being victorious in the finals over Kai, who had defeated Go Shiozaki in his semifinal match.

Shiozaki made it furthest in the tournament, reaching the finals, after eliminating both Suzuki and Kanemaru as well as top World Tag Team Championship contender Joe Doering,[69][70][71] before losing to Akebono.

[80][81] On January 26, 2014, Akiyama and Kanemaru gained a measure of revenge on their former stablemates, when they defeated Aoki and Suzuki to win the All Asia Tag Team Championship.

[84][85] Two days later, Akiyama and Kanemaru lost the All Asia Tag Team Championship to Keisuke Ishii and Shigehiro Irie at a DDT Pro-Wrestling event.

[86][87][88] Later that same event, Akiyama captured the comedic Ironman Heavymetalweight Championship by accidentally pinning the previous champion, the title belt itself, during a backstage interview.

[102] This incarnation would be led by Tetsuya Endo[1] (who had been left without a stable since the dissolution of Damnation in September of that year) and would have Jun Akiyama, Yusuke Okada[103] and Yuya Koroku[2] as its members.

[6] From January 30 to February 27, 2022, Tetsuya Endo and Jun Akiyama represented the stable in the Ultimate Tag League, winning three of their four matches, losing only to the team of Konosuke Takeshita and Yuki Ueno, and failed to advance to the final.

[106] On May 1, at Mega Max Bump 2022, Jun Akiyama and Yusuke Okada unsuccessfully challenged Calamari Drunken Kings (Chris Brookes and Masahiro Takanashi) for the KO-D Tag Team Championship.

On September 18, at Sternness 30th Anniversary, an event celebrating Akiyama's 30-year career as a professional wrestler, he and Endo teamed with Yoshinobu Kanemaru to defeat Konosuke Takeshita, Shunma Katsumata and Yuji Nagata.

[116] On December 29, at Never Mind 2022, Endo, Suzuki and Okada won the KO-D 6-Man Tag Team Championship by defeating Naruki Doi, Toru Owashi and Kazuki Hirata.

2023, Burning retained the KO-D 6-Man Tag Team Championship against Pheromones (Yuki "Sexy" Iino, Danshoku "Dandy" Dino and Koju "Shining Ball" Takeda).

[120] On February 26, at Into The Fight 2023, Burning lost the KO-D 6-Man Tag Team Championship to Shinya Aoki, Yuki Ueno and Super Sasadango Machine.

[127] On July 23, at Wrestle Peter Pan 2023, Kotaro Suzuki, Yusuke Okada and Yuya Koroku were involved in a three-way match against Damnation T.A (Minoru Fujita, MJ Paul and Kanon) and the team of Naruki Doi, Toru Owashi and Kazuki Hirata.

[128] On September 8, the stable made an appearance in AJPW on day 3 of the Giant Series tour, when Akiyama and Okada teamed with Sanshiro Takagi to defeat Evolution's Suwama, Hikaru Sato and Dan Tamura.

[129] The next day, at DDT Big Bang 2023, they lost to Atsushi Onita, Yoshitatsu and Toy Kojima in a time delayed scramble bunkhouse six-man exploding deathmatch.

[130] The title match was held as an exploding bat and board tag team deathmatch on September 18, at Dramatic Explosion 2023 and saw Akiyama and Suzuki capture the championship from Onita and Yoshitatsu.

[131] On October 7, at the God Bless DDT 2023 tour event in Sanjō, Akiyama and Suzuki successfully defended the All Asia Tag Team Championship against Takao Omori and Yoshitatsu.

[133] On October 22, Jun Akiyama found himself teaming with Danshoku Dino and Makoto Oishi, defeating Kazusada Higuchi, Akito and Yusuke Okada.

[134] On November 16, on the Get Alive 2023 tour event in Shinjuku, following Saki Akai's retirement from professional wrestling and the ensuing vacancy of the KO-D 6-Man Tag Team Championship, DDT held a four-team tournament to crown new champions.