If you are interested in screaming, logic-defying robot battle, this is the one. I am a fan of Gunbuster, but the first two episodes of that six episode OVA aren't great. And I am bigger fan of Gurren Lagann, but I did not dig some of the comedic episodes and the wacky stuff, nor did I love the goofy designs of the main mecha. GaoGaiGar actually has my favorite robot designs, but there is an absurd amount of reused footage for each episode (more excusable in this, since it was a long running show) and the Mike Saunders character is the most grating character in any show that I choose to regularly watch. Additionally, the early attempts at CG are unwanted.
Contrarily, Getter Robo Armageddon is a pedal down screaming battling clanking explosion of testosterone and creativity. An incredibly high standard is set with the arc of the first few episodes, but as with the the best Gainax shows (which are their robot shows rather than their unfunny broad "comedies") and GaoGaiGar, Getter Robo Armageddon continually tops itself, getting crazier and crazier and crazier. In this case, it does it with an adult audience in mind and with stronger violence and aggression. (Though the harder sci-fi ideas of Gunbuster are appreciated by me-- I really dig hard sci-fi, especially Greg Egan and Ted Chiang.)
"So much for the laws of physics" is an actual line from the show, as the carnage reaches unprecedented levels of wildness and invention.
Animation quality of Getter Robo Armageddon, as if often the case with OVA series, is good and often spectacular. Certainly the battles and gory sequences are as fluidly animated as a high budget feature. And the monster designs are worthy of Rob Bottin (The Thing) or Bernie Wrightson.
Although I heartily recommend Gunbuster and Gurren Lagann and Gaogaigar (Japanese sure like the letter G for robots, don't they?), Getter Robo Armaggedon is the best, a relentless barrage of ideas, conveyed through screaming action, and it is the most ridiculously passionate Super Robot show I've ever seen. I've watched it in its entirety three times and will watch it for the remainder of my life.
(New Getter Robo is also good, but nowhere near the level of this.)