Since all cards are now presented in new editions on Dominion Online, it should be okay to discuss the new versions. Donald has said (as I understood it) that cards might get further changes before they are published, but for now this is what we're playing with.
Here is a text file with all the new versions, with thanks to Seprix. (He told me that there might be changes online not reflected in this text - Moat and Diplomat are missing the word "first" here.)
The only cards with functional changes (after Intrigue), seem to be
Scheme,
Embargo and
Outpost. Possession is also changed, but the erratum in the Empires rulebook was apparently meant for 1st edition Possession cards too. (I'm still wondering about Stash.)
Hinterlands (already published)Nomad Camp: Previous inaccurate wording now corrected.
Haggler: I thought the new wording made it less clear. Cheaper than which card?
Inn: Now clearer that Inn isn't necessarily shuffled in (since it's not necessarily in your discard pile).
Scheme: Changed functionally because the choice is now when actually discarding each card, not at the start of Clean-up. But it seems to me that in practice, with all existing cards, it will never make a difference...?
SeasideEmbargo: Each token is now a separate ability triggering, which means you can resolve other when-buy abilities (like Haggler) in between. This is very marginal of course. Also the strictly inaccurate, cumulative under-the-line text is now fixed (but not fixed on Duchess, Baker, Trade Route and Young Witch).
Pirate Ship: Corrected according to existing errata.
Salvager: Now specifies that it's coin cost.
Treasure Map: Now says "if you trashed", which matters for Band of Misfits.
Outpost: There is another thread about it. Four functional differences: It never stays in play if it fails; it doesn't make you draw 3 cards if it fails; it doesn't work if Inherited (it refers to "Outpost"); and if you have other extra turns lined up you can now resolve the Outpost turn last.
Tactician: Changed wording, but I think that it's functionally the same.
AlchemyApprentice: Coin symbol corrected.
Possession: Corrected according to existing errata (stated in Empires rulebook).
AdventuresCoin of the Realm, Royal Carriage: Previous wording was strictly inaccurate - now changed.
Storyteller: Coin symbol corrected.
Borrow, Save: "+1 Buy" moved, which makes the meaning of "once per turn" less confusing on these Events.
PromosBlack Market: Previous inaccurate wording now corrected: It was missing that you can play Treasures. A dividing line is also added. The setup rule has actually changed functionally strictly speaking: Before it said to use all cards not in the Supply. But from very early on Donald hasn't supported this requirement, and no online implementation has followed it. So this change is really a correction according to existing errata.
Envoy: Corrected according to existing errata (stated in Adventures rulebook).
ProsperityEDIT 2017-08-21:
Trade Route: It now trashes first, which can matter if your trashing leads to gaining a Victory card. See
this post.
If anybody can spot any other changes that matter, or any mistake I've made, I'd appreciate it if you chime in.