My small collection includes a Jan Staffani wooden giraffe from Germany, a little green TM TOYS giraffe and a plastic 1970s orange favourite.
Mechanisms variations
Most push puppets are controlled by a push up bottom, however there are a few variations.
button rocker puppet, press the tiny button on the rocker (fox in picture)
paddle action puppet, press the paddle at the sides (tiger in picture)
classic hollow base push up action puppet (cow in picture)