No Peter III of Russia

what would happen if Anna died a few months before OTL, taking Peter III with her in death? Who would Elizabeth of Russia select as heir (who was even available?) and what would otherwise change?

For one with another heir i don't see Russia doing a 180 in Seven years war going from fighting Prussia to being a strong ally for them, which in turn likely would neuter Prussia as a regional powerhouse (by cutting them down following the Battle of Kunersdorf, if everything else goes as OTL)
 
what would happen if Anna died a few months before OTL, taking Peter III with her in death? Who would Elizabeth of Russia select as heir (who was even available?) and what would otherwise change?

The imprisoned siblings of the infant Ivan VI (and Ivan VI himself) who Elizabeth herself had deposed were the only actual quasi-Romanovs alive as far as I know. Though there may have been more Romanovs further back along the line. If the boyars had to elect a new Tsar from a new family it could end up in Civil War.
 
Was debated.
The interesting answer is - have Ivan VI and his brothers die in prison for some reason, marry his sisters off to trusted noblemen and whoever is the first to give a male heir starts the new "Romanov-Whatever" dynasty.
 
The imprisoned siblings of the infant Ivan VI (and Ivan VI himself) who Elizabeth herself had deposed were the only actual quasi-Romanovs alive as far as I know. Though there may have been more Romanovs further back along the line. If the boyars had to elect a new Tsar from a new family it could end up in Civil War.

IIRC, by 1770, the future Paul I was the only remaining Romanov descendant other than Ivan VI's family (I'm not counting Catherine II).
I'm not sure if there were still any other options in the 1750s, but I highly suspect there weren't. Of course, a POD in 1728 would butterfly away the whole situation entirely.

...After checking the genealogy yet again: if Peter II and Anna Ioannovna both die on schedule (no reason why not), it's indeed down to Elizabeth vs. Anna Leopoldovna (and whatever family Anna has by that point - OTL Ivan VI is definitely butterflied away). The latter is highly unpopular as of 1740, due to being too obviously German; depending on what Anna's family looks like, the OTL inheritance weirdness that followed after that might or might not be a possibility.
 
No Miracle of the house of Brandenburg.

Austria gets Silesia back and Poland will get divided by Austria and Russia - Pruussia (then called Brandenburg) gets nothing.

No French revolution because France wins the war agaisnt Britain/Prussia

13 colonies might rebel or they might not in fear that French Quebec mightset an eye on them.
 
That's even assuming there will be a Partition. Realistically, I feel that gobbling up so much of Poland would be bad for Russia. I think no Prussia would mean Russia would definitely keep Poland around as a Protectorate. Maybe with reduced borders perhaps, but it will stick around.
 
No Miracle of the house of Brandenburg.

Austria gets Silesia back and Poland will get divided by Austria and Russia - Pruussia (then called Brandenburg) gets nothing.

No French revolution because France wins the war agaisnt Britain/Prussia

13 colonies might rebel or they might not in fear that French Quebec mightset an eye on them.

Your third step is highly debateable. The French had already been repelled by Hannover and defeated at sea. The only way they can get extra gains compared to OTL is if Austria now marches an army to Hannover. But I don't see why Austria would do that. With Prussia dismantled, France becomes Austria's chief rival in central Europe so I don't really see why Austria would strengthen France's position in Germany at her own expense.
 
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