Some thoughts... feel free to correct me.
ISG = Sword item + shield + explosives.
Megaflip = Shield + explosives.
As a child...
DT needs only the Sword with Mido Skip, but I don't know how difficult that is, otherwise you also need Deku Shield. Either way, the dungeon item will require a shield.
DC requires Zelda's Letter + Bracelet to enter/complete, or Explosives. Dungeon Item can be reached with sword + bracelet or Explosives + Shield for Megaflip.
Zora's Fountain -> Domain requires Lullaby (which requires a bottle or Ocarina), or explosives. Unless there's a clip I'm forgetting, you also need diving scale -> Ruto's Letter or explosives + shield to bypass King Zora. Jabu can be entered early, but you cannot get past the first room without explosives or sling. Dungeon Item can be reached without anything special.
As an adult...
Forest requires Hookshot+ or Explosives to enter, assuming no wrong warp. Otherwise no special equipment is needed to reach the Dungeon Item.
Fire requires Hookshot+ or Explosives to get to the bridge. Dungeon might require SoT (Ocarina), but I forget. Dungeon Item requires Hookshot, Explosives, or Megaton Hammer. Fire can be beaten without Tunic, but no bottle for fairy might get tough, and there's the possibility that you can't build up enough hearts.
Ice Cavern requires only a bottle to complete. Same requirements needed to go from Zora's Fountain -> Domain, but King Zora can be skipped via defrost glitch iirc.
Water Dungeon Item requires Hookshot+ or ISG, with either a Water Diving Trick (Spell Diving) or Iron Boots.
Too tired to complete, but I can say that...
Trade items probably shouldn't be randomized. Outside ZL, Ruto Letter, Child Trade Items are useless. Trade Items with timers exhibit odd behavior (timeout causes the last entrance to load instead of going back the the proper npc) when duped over (and probably if you obtain another trade item during a sequence. Both types of items can revert back to an earlier form as well, and if obtained from a chess they could be lost forever.