The carrot and the chicken is selective breeding. The banana and the corn are polyploids, this means the have more than two alleles per chromosome. This can happen naturally but it also can be induced. I know they did that with seedless grapes, not sure about these two though. Not sure about the strawberry but looks like a polyploid as well. Splicing is usually used to insert a single gene and those are usually things you can't really see. For example they are make rice varieties with different kinds of vitamins to solve malnutrition in Asia.
Well, there are some speculations and some studies (still under way) that are trying to find a link on whether GMO can actually affect the human biochemical composition including modifications passed down generations... I'm no expert, but that is the general view. More insight would be nice though.
I believe most of the gmo chatter is about the same as the antivax quacks, based on rumors and non-science that only has a leg to stand on while sitting on a chair.
*lights a cigarette*