Accidental appeal and mechanics question.

[Illini_Ref]

In the play from the NF casebook this seems to be an accidental appeal. The case was revised, so I am assuming that it has changed. Is this only at first base. This is a missed base, so it is an appeal play, and the manner in which it is described in the case book looks like the "accidental appeal".

My other question is this. In the play from the case book, the fielder touches the base AFTER the runner missed it. What if the fielder catches the ball with his foot touching the base AFTER the runner is past the base, but missed touching the base. This used to be taught as a "safe" call and you wait for the appeal. Now am I supposed to call an immediate out, and treat it as an "accidental appeal"? Also, does this apply at other bases?