St6's setting totally went over my head BITD, but even then I knew the game was communicating that things had gone very, very wrong, and I was about to see something even more disheartening than...
Spoiler
It even rewinds to the appropriate timecode on a checkpoint restart, if memory serves? I died a lot on some of those, always appreciated the synergy of highfalootin' 32bit flash to grizzled oldschool discipline. I think it may even have motivated me to do better, like a more oblique Gradius V announcer. "You're fucking up the production, noob!"
Delta's one of those polygonal STGs that'll seem to be aging suspiciously well in my head, until I fire it up again and remember it's just really well-done. Einhander's similar. I find that Instinctive Disappoint Buffer™ response is stronger where PS1/SS games (any genre) are concerned, given how rough the polys were back then. Took real directorial chops to excel.