In InventoryManager the full list of acquirable non-discardable items is:
case ItemPool.TEN_LEAF_CLOVER:
case ItemPool.DISASSEMBLED_CLOVER:
case ItemPool.PHIAL_OF_HOTNESS:
case ItemPool.PHIAL_OF_COLDNESS:
case ItemPool.PHIAL_OF_SPOOKINESS:
case ItemPool.PHIAL_OF_STENCH:
case ItemPool.PHIAL_OF_SLEAZINESS:
case ItemPool.WHITE_RICE:
// Love songs
case ItemPool.VAGUE_AMBIGUITY:
case ItemPool.SMOLDERING_PASSION:
case ItemPool.ICY_REVENGE:
case ItemPool.SUGARY_CUTENESS:
case ItemPool.DISTURBING_OBSESSION:
case ItemPool.NAUGHTY_INNUENDO:
// Divine items
case ItemPool.DIVINE_NOISEMAKER:
case ItemPool.DIVINE_SILLY_STRING:
case ItemPool.DIVINE_BLOWOUT:
case ItemPool.DIVINE_CHAMPAGNE_POPPER:
case ItemPool.DIVINE_CRACKER:
case ItemPool.DIVINE_FLUTE:
Summary: Love Songs, Divine Items, Phials, Clovers, White Rice