As I've said for a while, anyone with more than two brain cells and the means, is leaving the USA or planning to leave quickly right at the edge of disaster.
"Persons holding a US passport may apply for their residence permit at the local immigration office (Ausländerbehörde) after arrival in Germany and without having obtained a visa prior to travelling to Germany. Please note that you need to register your new residence (Anmeldung) with the authorities (Meldebehörde) within 2 weeks of having moved to Germany. You also need to apply for your residence permit at the local immigration office (Ausländerbehörde) within the first 90 days of your stay in Germany. (...)
We strongly recommend contacting the local immigration office as soon as possible after your arrival in Germany in order to secure a timely appointment.
Please note that you may only take up employment once you have been issued a residence permit explicitly authorizing such employment. You may also choose to apply for a visa prior to travel, effectively permitting employment from the first day of visa validity"
There's no downside if you can do it and extreme wealth is only a requirement if some of the many offers don't apply to you. Spain was basically giving away citizenship a few years back. Bulgaria is pretty open.
These are all lame countries anyways, now I would love to have a Denmark or Sweden passport or something but last I looked it was pretty hard (For us lowly plebs anyways...)
There is a downside to US Citizenship for some though, as one of the only countries on earth yo demand you pay taxes on income earned outside the country