Can you check my answer
1. mr. williams gave the (class) a list of fiction genres. class is underlined * direct object
2. i read approximately three mystery (novels) every month. novels is underlined * indrect object

direct object a
predicate nominative b
objective nominative c
indrect object d
preicate adjective e

Both of your answers are unfortunately wrong.

1. Mr. Williams gave the (class) a list of fiction genres. - the word class is indirect object of the sentence. The direct object is a list of fiction genres. When determining what a direct object is, the easiest way is just to ask the question - what? What did Mr. Williams give the class? - A list of fiction genres. So we know that phrase is the direct object. In English, if there are two objects given in a sentence (an indirect and a direct one), the rule is that the indirect object will be located in front of the direct one. So we know that the word class is indirect object.

2. I read approximately three mystery (novels) every month. - The word novels is direct object. Again, just ask yourself - What do I read every month? And the answer is the direct object, which in this case is - (three mystery) novels.