When I last posted, there weren't any screenshots visible, so I was just going off past experiences on criticizing white+ light blue borders. Fortunately in this case, the simple font and shadows salvage things. Overall, I have no problem with the main fonts and OP/ED as they appear in the screenshots. Size is good, styles are good, and again the shadows go a long way in making the serifed OP/ED subs readable. That styling guide Lupin linked is a great read, you may want to check the
overscan mask as they suggest. Also, ++massive points for leaving that "walk you to school" line broken up into 2 rows as they were on the DVD, instead of making 1 long line across the whole bottom of the screen. DVDs do that for a reason, to keep subs in the center and minimize side-to-side eye-scanning.
As Dagger said, the red does seem a little off in that insert-song scene. Maybe do a white + black outline there? Since that's a "neutral" combination if nothing else. Also, the font for the insert song seems a little... idk... "too silly" for the scene? That font (Kirsten ITC, iirc) feels more like something you'd see in a show like Happy Lesson or Akikan. Using the same style as the main subs would work, with a "closer" color and maybe italicizing to differentiate it from the dialogue.
I should state that I don't have a huge monitor (1152x860 4:3) and I don't often watch HDTV/BD files. So maybe I'm not the best judge of size in this case. But imho it's better to err on the side of being big enough for imperfect vision / smaller displays / longer viewing distance.
Sidenote: DaggerLite, are you the same "Dagger" in Dagger & Desbreko?