I recruited discord to help make a list of:
Cards (and card-shaped things) which make Candlestick Maker and Ducat play differently:
Draw to X and related: Library, JoAT, Watchtower, Minion, Menagerie, Scholar, Tactician, Cursed Village, Diplomat
Action Thrones: TR, KC, Procession, Crown, Disciple, Ghost, Royal Carriage
Drawing/Playing Actions: Scrying Pool, City Quarter, Herald, Golem, Ghost, Wandering Minstrel, Prince, Imp, Conclave, Vassal, Library, Shanty Town
Actions Played/In-play/In-discard: Peddler, Conspirator, Leprechaun, Emporium, Enchantress, Scheme, Coin of the Realm, Champion (Diadem), Magic Lamp*, Walled Village, Inn
Tokens: Teacher, Lost Arts, Pathfinding, Seaway, Training, Ferry, Plan, Inheritance
Type check bonuses: Ironmonger, Ironworks, Sacrifice, Sculptor, Magpie, Vineyard, Transmute, Haunted Mirror
Action Gaining/Buying: University, Lurker, Stonemason, Quarry, Summon
Impersonation: BoM, Overlord, Necromancer
Landmarks: Keep, Arena, Colonnade, Obelisk, Orchard, Triumphal Arch, Defiled Shrine, Tomb
Action Trashing: Graverobber, Death Cart, Advance, Zombie Apprentice, Lurker
Variety: Fairgrounds, Museum, Gladiator, Menagerie, Harvest
Possession (because always Possession?)
Hexes: Locusts, Delusion
Butcher (easier to use CSM Coffers)
Ducat’s cool ability which also interacts with: Priest, Tomb, Market Square, Sewers, Watchtower
Treasure things: Terminal Draw (not listing all these), Stables, Venture, Bank, Earth’s Gift, Mandarin**, Storyteller, Black Market***, Catapult, Herbalist, Poor House, Forager, Hero, Tragic Hero, Alms, Crown, Crypt, Plaza, Haunted Woods (CSM can be dead in hand)
Can/Can’t trash Treasures: Counterfeit, Loan, Bandit, Noble Brigand (affects junking), Pirate Ship, Taxman, Mint, Mine, JoAT, Spice Merchant, Hermit, Pooka
Clarifications:
* Ducat favorer because you can play multiple Ducats (some after Lamp) and still activate.
** Ducat enables Mandarin/HoP golden deck.
*** Storyteller/Black Market require some additional interactions to make meaningful differences.
All the action leading to this treasure happened here:
https://docs.google.com/document/d/1EE3Jj3W_8-WuDXX4IM74sJxe9qpNbdkL7RtioH-IWv8/edit?usp=sharingFeel free to add anything we missed.