You could be in trouble. The rules were changed in Oct last year to be more stringent. I don't know about iguanas - you should check witht he embassy as some animals are forbidden which are considered 'exotic' but all cats and dogs entering the EU (inc of course Germany) from approved countries (which include the US) MUST have a rabies shot and not less than a month later a blood test to certify they have immunity. Then they must wait another three months before travel. This must all be certified and vet stamped on the proper forms ( obtainable from the Embassy) before they will be allowed to enter - in fact before airlines will agree to carry them in most cases. They also of course need to be microchipped. They will be turned away if they do not have the paperwork - there are no exceptions. If travelling to the UK, Sweden or Ireland there are extra requirements. If you turn up without the right forms and before the allowed time your animal risks confiscation and destruction. I know all this because I am in the middle of getting the passports for my three girls to go to France and I have a friend who works with rescue dogs, getting them adopted from here into Germany and Austria. Good luck, and don't risk anything silly. All information is available on the EU website - do a search on 'importing animals'.