More than half of the items in this game are now trash. I don't even bother to keep them to sell. They're all about as useful as dirt to me. I'll give you a small list of things you might find in my Terrarian trash can.
Bezoars,
Armor Polish,
All of Plantera's drops except the Axe,
All of the Golem's drops except for his trophy,
Broken Hero Swords,
Ectoplasm,
Nazars,
Adhesive Bandages,
All of Duke Fishron's drops except for his mask,
I could spare a few platinum,
All of the souls,
Any drop at all from the dungeon enemies except for the Paladin's Hammer,
Pretty much any drops from any of the bosses,
Much, much, more. My advice? I imagine RNG as basically Lucahjin. I am close friends with RNG. She will give many gifts if you appease her with your friendship. (She'll still keep you from getting things you really want, but being her friend still get you better things than not.)
Once again, another example of my insanity.