Testing cheapest/lowest effort version:
Weapon: Any, Snow White
Head: Russet Brown
Body: Archaeoskin Jacket of Crafting, any red (All classes)
Hands: Soot Black
Legs: Wind Silk Bottoms, any red (alt: Ruby Cotton Bottoms, 4*, DoH only)
Feet: Augmented Shire Boots (Emissary,Preceptor,Philosopher), Soot Black
Neck: Redbill Scarf
I think the above should give you around 89 points. So you can drop the body or legs or feet And still get 80+. Unfortunately this week looks like it's a hard week to get 80+ for <lv60. The ones below lv60 needs to get Allagan weapon instead of boots and scarf, and should still get barely 80. Alternatively, if you have Allagan weapon, you can drop 2 of the other themed pieces.
(I got a 78 when dropping legs and feet to test if the SAM feet one works - and it doesn't. So The cheap option above works for NIN, healers, and casters if you drop legs, otherwise you need the leg piece)
Testing result