Parts of the Americas (US, Canada, maybe a few countries in S America), Australia, Japan, China, Russia.
Food, oceans, armies, and strong centralized control will be the greatest assets over the next century. That means parts of Asia under strong totalitarian rule are best suited for survival, as well as the island nations, which includes Australia and much of the Americas.
Europe will be destroyed as liberalism has already diluted most societies into oblivion. Besides what has already happened, what comes next will be tens of millions (if not hundreds) of refugees from Africa and the Middle East / SW Asia. The SJW reaction ("let them in") will doom these societies to complete destruction. You can already see it happening in places like Germany, where extant population native to the land is now obese and drunk on prosperity, dependent on what is essentially slave labor as they are no longer reproducing. They will be destroyed by their slaves, which is perhaps a just outcome. Maybe France and the UK stand a better chance of survival, but IDK.
Africa will be destroyed because it has too many people, can't feed itself, and will broil.
Non-Chinese and Russian parts of Asia will face a similar fate.
The notion that any democracies in their current sense will remain in 2100 is ludicrous. Any state without strong central power will be obliterated through inability to cope with accelerating and worsening change. This is why the USA, paradoxically, is actually on a path to survival (IMO).
Finally, I would not be surprised if we see the Greatest Powers encourage a nuclear exchange on the Indian subcontinent. This would actually be beneficial to most of the world. It would likely result in the deaths of about a billion people directly or indirectly initially, and another billion or two in the ensuing years due to food shortages (Africa and the rest of Asia). The smoke would stop warming temporarily, while the mass death would be the best benefit in the long term, as growth / emissions from many regions would be eliminated almost entirely (leaving the developed / centralized countries already on a path towards lower emissions the only ones remaining).
I'm sure the people of Iceland, Finland, Norway, Sweden, and Canada will be pleased to welcome millions and millions of refugees from all over the world. /s
In Sweden and Norway they already have, which is why they are unlikely to survive the coming storm.
Iceland could survive if changes in the NATL don't result in its complete reglaciation. There's a whole lot of meltwater impending in its vicinity thanks to Greenland and I don't see how it will remain habitable if trends since 2012 continue.