Is there anything a picky-eating American would like?
Is it hard for an American to get a job there?
(my field is electrical engineering)
AS to getting a job there? Could be hard to get a job there. As in most countries, I think your credentials will be important. You have to have a “kennatallar” that is not the right spelling but it is something a kin to a SSN in order to even get a cell phone.
Our son in law was born there, and when he and his family moved there after they lost their business and farm in VA 3 years ago, they just went there...they did own some summer homes up in the West Fjords as Butch had the “Kennatallar” number issued when he was born..but they did not have resident alien documents...and Michelle almost got deported back to the US. It took forever to get the paper work and they had to have FBI background checks etc. There is more to moving there than just packing up.
Why are you interested in Iceland? Have you been there before? Our daughter will be here in about 3weeks so I can get her on line and she can tell you what more you might need. Maybe even do skype.. Tell me more about why and where in Iceland you are interested in being.