I have money, funds, and am a savvy investor and live in Norway now.
Googling these 2 visas will get you some more information. Take note that the word "investor" in this context does not refer to playing on the stock market, but to actively investing in a local business or passively investing in a professionally managed project. In both cases, substantial amounts (hundreds of thousands of dollars) are required.
You can also participate in the annual green card lottery ("Diversity Visa Lottery"). As a European you have a 1%-2% chance to win in each draw, double chance if your spouse participates too.
Get advice from an immigration attorney in the US or from an emigration adviser in Norway.