This series introduces in new form for Ryo-ohki, Super Robot mecha form Ryo-ohki!
Ryoko's final battle with Hotsuma.
Tsugaru's final fight against Mihoshi and Kiyone. Basically Mihoshi and Kiyone's normal blasters have no effect on Tsugaru, Tsugaru is eventually killed when he's shot with a gun loaded with an anti-matter bullet that totally vaporized him!
Made even more awesome because this is a CMOA for... Mihoshi. Yes, Mihoshi. Had she not taken the bullet for Kiyone instead of shooting Tsugaru with the anti-matter bullet, Kiyone would have not had the chance to catch Tsugaru with his guard down enough to kill him.
When all of the girls are driven away one-by-one as Yugi's schemes give fruit and Tenchi falls sincerely for Sakuya... Ayeka actually refuses to leave even after being given proof of Tenchi choosing Sakuya. Considering how much of a Clingy Jealous Girl she can be, the fact that she didn't fall for it is rather good.
And then we see that Washuu didn't "leave" either. All the time she spent in her lab, apparently disconnected from everything (which would be her equivalent to "leaving")... she spent it researching and doing what she could to try finding WTF was Yugi planning. Yissssss.
And even when she's a Relationship Sue of sorts, Sakuya gains what might be the biggest CMOA in the whole series. Having been re-absorbed into Yugi, which would be the closest to death for her, she's put into a Lotus-Eater Machine with the intention of locking Tenchi inside of it forever as Yugi takes over the earth. Only that Sakuya, who by that point is far more than a mere projection, refuses to play along. She tears the LEM down, gives Tenchi a Rousing Speech, and sends him back to the girls, fully knowing that she will disappear out of existence.
Amagasaki practically gets a whole episode of Awesome (and Funny) when he repeatedly clashes with the spirit of a famous female Pro-Wrestler and finally defeats her.