The top one, from the side view, appears to be a representation of a phalanx bone. The bottom one is very similar to pottery vessel effigy heads representing ducks.
Maybe this can help for the third and fourth photos:
Zs. Siklósi 2004, especially p. 43
Zs. Siklósi 2004; Prestige goods in the Neolithic of the Carpathian Basin. Material manifestations of social differentiation, "Acta Archaeologica Academiae Scientiarum Hung.", 55: 1-62.
Hi James, it can be a representation of a phalanx bone. It is reltaively unusual type in our enviroment. Something similar is known form this locality from the previous excavation. Thanks a lot!