Question

All of the following word groups show parallelism except __________. funny, arrogant, kindhearted to walk to the store, to jump over a puddle, to run around the yard smiling at my mother, when I cleaned my room, to ask my parents for a favor if we wanted to eat lunch, if we needed to buy a car, if we wished to go on vacation

Answer 1

All of the following word groups show parallelism except smiling at my mother, when I cleaned my room, to ask my parents for a favor.
Parallelism means that the same form is used throughout, whereas in these words, three different forms are used - a participle, a past simple tense, and an infinitive. 

Answer 2

All of the following word groups show parallelism except smiling at my mother, when I cleaned my room, to ask my parents for a favor.

Parallelism is the use of same components, forms or ideas which are the same or are similar in a sentence. It adds rhythm to the sentences and helps in specifying the ideas more because it involves repetition of ideas or words. The repetition of the words in the lines or parallelism makes an idea or argument more specific and clearer.

Except for the above words, all the other words in the excerpt show the feature of Parallelism in them. The non-parallel words are in different forms and structure.