It used to be fun to joke about getting the 3/5 split, but nowadays, it's not just a case of cheating, or accidently messing up the start decks.
For the purposes of this thread, I'll set the following parameters:
--The order is irrelevant
There are cases where 3/4 vs. 4/3 have mattered, but.. not here. End result is you're still getting a 3-cost card, and up to a 4-cost card
Valid factors for deviation include:
--disrupting what cards you can get before the first shuffle (not counting the one at game start)
--being able to get a more expensive card, even if it's at the cost of the other card being cheaper
--being able to get more than 2 cards
--getting cards sooner (like before the first shuffle)
.
As of Nocturne and 9 expansions, I've got:
>Nomad Camp (Hint)
Possible to get 4/5
>Advance + Necropolis (Emp + DA)
Trash the Necropolis for a $5 action card, while the next turn $3, $4, or $5 for something else
>Baker (Guilds)
Setup has each player start off with a coin token, enabling the 3/5, 4/4, or 2/6 split
ADVENTURES
>Port - It's part of the card, but it does let you do 4/4/3 split
>Alms - 4/5 split
>Ball - 2/4/4 split
>Borrow - 4/4 split, or 2/6 split
>Ferry - let's you do 0/6 by turning the 3/4 split via Ferry token onto $6 card, then buying that for $4
>Save - 0/6 split or 1/5 split
>Scouting Party - accelerates to the reshuffle
>Traveling Fair - You can spend the $4 or $5 from first turn on this, then top deck whatever you get
EMPIRES
>Forum - 2/5/0 split
>Crumbling Castle - 4/Silver/3 split
>Debt cost cards - while 8 Debt isn't quite the same as 8-coins, I'm counting given the parameters I've set
>Banquet - 5/4 split, with a 2 Copper penalty
NOCTURNE
>Pouch - extra buy can let you get a 3rd card
>Cursed Gold - 7/2 split, 5/4 split, and everything in between
>Lucky Coin - the usual 2/5 and 3/4, but with Silver on top of that
>Ghost Town + Den Of Sin - gained into you hand, so disrupts shuffle
>Guardian - gained into your hand, so 2/6 split
>Night Watchman - ditto here as with Ghost Town + DoS above
>Blessed Village - Receive a Boon upon gaining, which could give you an extra Silver, Gold, 4-cost card, or draw you more cards
>Cursed Village - ditto here like with Blessed Village above, but with Hexes instead (e.g. Plague for Curse)
EDIT: typo in Crumbling Castle