Is a criminal appeal against a final judgment of conviction not appealable?

"[A]n order is not appealable unless declared to be so by the Constitution or by statute. [Citations.]" (People v. Keener (1961) 55 Cal.2d 714,720.) Stated simply, a criminal appeal by the defendant may be taken only from "a final judgment of conviction" ( 1237, subd. (a); 1466, subd. (2)(A)) or from "any order made after judgment, affecting the substantial rights" of the party ( 1237, subd. (b); 1466, subd. (2)(B)). Our resolution of these three appeals hinges on interpreting and applying the phrase "order made after judgment, affecting the substantial rights" of the defendant.