It is plausible to have a North America with stable colonies made by various European powers? I don't only mean England and France, but also other countries like Holland, Sweden, Spain and perhaps others, having sucessful colonies. How would a North America like that fare when colonies get big enough to claim independence?
I'd imagine you'd have to knock the Spanish down a peg and keep the French and English somewhat weaker than OTL to do this.
Perhaps Spain shells more money into News Mexico, which leaves St. Augustine to rot in isolation, with less Spanish threat to the East coast. Meanwhile, a strong Spanish Armada wrecks havoc in England, leaving both weaker in the end. At the same time the Religious wars in France continue to be a bloody mess.
With knock-on effects on the 80 years war, The Netherlands is also less successful in commercial enterprising. If it does gain independence,
Sweden is still in a good position to expand. I wouldn't imagine a settler colony would be viable, due to the low population of Sweden at the Time. a Fur Trading colony would be viable, but I'd imagine it would have the same problems as New France did IOTL.
The German states are inevitably due for a Protestant/Catholic War, but with everyone busy rooting out Protestantism, the German war will probably be over sooner, resulting in less depopulation. Several German states could pool their resources to do something exciting.
Portugal would be unlikely to seek more colonies in America. There were more lucrative locations than the American Coast.
Scotland could start something, it's treasury was only drained after the Darien Scheme, and a settler colony with some fur trading on the side would be good for business. It would significantly delay any thought of Union with England.
Poland-Lithuania would be unlikely to do much in terms of 'Settler' colonies: That's what Ruthenia is for. Maybe Fur colonies. Courland could do it if we really try...
England and France would probably come around ITTL to colonies. I could imagine if the POD involves Spain neglecting Florida in favor of New Mexico and California, the English would want Pacific Pirate bases. France would probably just grab some Caribbean colonies the next time Spain goes to War.