Hm... all the stuff on sale in the forums made me want to hook up my Matt (tm) Supergun, so I'm going to have to reverse my opinion:
Armed Police Batrider friggin' rocks!

It's a nice breather from Dodonpachi: DOJ and I'm not in the mood for more must-memorize Psikyo bullet patterns just yet. And when I got around to playing around with those codes and secrets...
So now, as for the topic, I'm going to have to so say
Ikaruga, though I still respect it tons and plan to give it a proper 1CC someday. I just think it's the opposite of DOJ:
Ikaruga's memorization seems like a
requirement to playing the game well and enjoyably. In my case I memorized enough to get a respectable chain in Stage 1 (what with the zig-zag, single shots, and "rows" at the end) and a decent chain in Stage 2, reaching the first boss in Stage 5 before I had to actually commit myself to memorizing the game again. I didn't feel like it.
DOJ on the other hand seems to throw the memorization at you as an
incentive to higher scoring; I personally loved chiseling my strategies to perfection. No one's forcing you to chain, and the game is still friggin' fun without it.
I'm a little... what's the word... "disturbed?" at how there
is a "BEST" way of clearing the stages in Ikaruga. There's a DVD that shows gameplay so advanced, I can't help but get the feeling I'm playing a stupid, inferior way whenever I play by
my means (max stage chains are my proof), forcing me to try something else like dot eating... until the "BEST" way of dot eating is found.
DOJ of course offers
tons of different ways of playing; even if you don't choose to chain there's lots of fun with Hypers... right?
Also, the training modes in DOJ are leagues better than the one in (Gamecube version) Ikaruga.