At the 360 was the home of shmups last go around, even and especially Japanese ones which is shocking considering how poorly it sold in Japan, I covered a fair bit of it in
http://gbatemp.net/threads/ps3-and-360-exclusives-a-discussion.360416/ . In some ways it might even be better than the PC from around the same time.
http://gbatemp.net/threads/gbatemp-game-of-the-week-74.336294/ covers a fair few of the DS ones out there.
For the GBA I will also suggest a pieces of homebrew
http://filetrip.net/gba-downloads/homebrew/download-vulkanon-v2-1-f1316.html and
http://filetrip.net/gba-downloads/homebrew/download-bulletgba-5-0-f1317.html
Bullet hell is not really my thing in shmups and given the choice I will skew towards European Amiga style stuff, more
apidya than 1942 so I am not prepared to offer many suggestions as anybody that knows enough to call it bullet hell often has ideas about what they want in games. Definitely look into the 360 though as it is probably the best way for anything modern, you will want either a Japanese 360 or a 360 with something in the JTAG/RGH family of hacks (basically not a DVD mod) so you have region free if you head down that path though as many were region locked to Japan only. Oh if you want 1942 then it is probably only behind pong, breakout and tetris in the amount of homebrew versions that get made for systems.
I am not sure what goes for the PSP though, that is a rather troubling oversight for me.
Also as it is little remembered nowadays my favourite megadrive one
Super Air Wolf/Crossfire
You might also like
https://www.youtube.com/user/BitHead1000
He has been going through some of the PCE/TG16 shmups library lately, if you are not the kind of person I described above that will tell me they need one hit horizontal, no vertical... and just like them because they were what happened back when (your profile says you are younger but that means nothing if you still like the games) then he will probably steer you towards some good stuff.
Anyway I am waffling and several paragraphs after I said I am not about bullet hell when it comes to shmups so I will leave it there.