mahou_shoujo_lyrical_nanoha_a's_portable:_the_battle_of_aces -> mahou_shoujo_lyrical_nanoha_a's

material-s -> takamachi_nanoha
material-l -> fate_testarossa
material-d -> yagami_hayate

Did the first one.

As for the Material tags, are those different forms of the same characters, or actual separate characters who just look like them (like evil shadow clones or something?)

Shadow clones.
I'm against this one.

"actual separate characters who just look like them".
Just the main villain borrowing (only) their appearance and powers.

Personality is original and defers from their originals a lot.

I'll just stick with implicating the series name only then.