Twinkle Star Sprites
All-time great game, split-screen, heavy puzzle elements, character balance pretty good, also a good baseline since it's relatively well known (don't need to explain to you of course)
Twinkle Star Sprites: La Petite Princesse
Still good b/c it's tss, but slower so not as good (even on hardest setting), visibility is worse, also you gain meter too quickly
Senko no Ronde (has 3 arcade versions + 360 port)
All-time great game, arena (which means you directly fight), insane amount of strategy, higher-level strategy is more important than lower-level execution relative to most vs games, character balance and variety is actually quite good atm
Senko no Ronde DUO (upcoming)
Hope it's good lol
Change Air Blade
Vertical but single-screen, extremely tough to balance b/c top and bottom are way different, Sammy's problem is they did a poor job and sequels were never made that could fix this, top is way overpowered with many many broken moves, Japanese ban lots of top moves to try to compensate for this, interesting but ultimately bad
Phantasmagoria of Dimension Dream
Split-screen, it's ok, bit simplistic, problem is that it's too non-interactive (in tss you look at the other person's screen as much as your own, here it's much de-emphasized)
Phantasmagoria of Flower View
Split-screen, bullet hell vs shmup, the 1p is actually better than tss (but who cares), can actually play a downrank strategy which is actually kinda boring, same problem of other screen doesn't matter, game is better than all other non-STB Touhou games though including DimDream
Kioh Gyoku - Seihou version of phantasmagoria, split-screen, like all Seihou it has faster bullets than Touhou, I like it better than the Touhou games, suicide bullets and very fast
Acceleration of Suguri
Arena, some people like this game but I don't (I do like Suguri though, not a pvp), seems to draw more inspiration from Psychic Force than Senko no Ronde despite daijoubu calling it a Senko clone
Psychic Force
Arena, again some people love PF but I can't really get into it, too slow and clunky
Psychic Force 2012
Much better than PF but although I like it I have the same problems with it, this type of game really misses out by not having dash shots like Senko IMO
http://shmups.system11.org/viewtopic.php?t=24241
Forgot Spacewar and Star Control. Also, it's debatable whether some of the games in his list should be considered versus shooting games... but I haven't played most of them, so I am not going to attempt to correct him right now.