Not sure if this is any kind of record, but this is my favorite high-scoring game log:
<65-97>
--- Your turn ---
You play a University.
... You gain nothing.
You play a University.
... You gain nothing.
You play a Council Room.
... You draw 2 Universities, a Golem, and a Duchy and get +1 buy.
... BGGDL1-Captaintobs draws 1 card.
You play a University.
... You gain nothing.
You play a University.
... You gain nothing.
You play a Golem.
... You reveal a Monument, a Council Room, 2 Duchies, and 2 Dukes.
... You discard the 2 Duchies and the 2 Dukes.
... You play the Council Room first.
... ... You draw a Silver, a Monument, a Duchy, and a Duke and get +1 buy.
... ... BGGDL1-Captaintobs draws 1 card.
... You play the Monument second.
... ... You get +$2 and +1 ▼.
You play a Monument.
... You get +$2 and +1 ▼.
You play a Silver and a Platinum.
You buy a Duke.
You buy a Duchy.
<82-97>
--- BGGDL1-Captaintobs's turn ---
BGGDL1-Captaintobs plays a Silver and a Copper.
BGGDL1-Captaintobs buys an Estate.
<82-98>
--- Your turn ---
You play a Monument.
... You get +$2 and +1 ▼.
You play a Platinum.
You buy a Duchy.
<93-98>
--- BGGDL1-Captaintobs's turn ---
BGGDL1-Captaintobs plays a Council Room.
... drawing 4 cards and getting +1 buy.
... You draw a Golem.
BGGDL1-Captaintobs plays a Copper, a Potion, and a Gold.
BGGDL1-Captaintobs buys an Estate.
BGGDL1-Captaintobs buys a University.
(BGGDL1-Captaintobs reshuffles.)
<93-99>
--- Your turn ---
You play a Golem.
... You reveal a Curse, a Silver, a Council Room, and an Ambassador.
... You discard the Curse and the Silver.
... You play the Council Room first.
... ... (You reshuffle.)
... ... You draw a Silver, a University, a Duke, and a Monument and get +1 buy.
... ... BGGDL1-Captaintobs draws 1 card.
... You play the Ambassador second.
... ... You reveal a Monument.
... ... You return nothing to the supply.
... ... BGGDL1-Captaintobs gains a Monument.
You play a Silver and a Gold.
You buy a Duke.
<100-99>
GAME OVER
The game is over! (Estates, Duchies, and Dukes are all gone.)
You have 100 points (8 Dukes, 7 Duchies, 20 ▼, 5 Estates, and 2 Curses) and took 27 turns.
BGGDL1-Captaintobs has 99 points (5 Colonies, 6 Provinces, 8 ▼, a Duchy, 3 Estates, and a Curse) and took 26 turns.
BGGDL1-Orange wins!