There are heaps of bugs to catch (namely 40). This list will help you
to track them all down :)
Keep in mind that some bugs can be found in more than one season.

Season: All season | Spring | Summer | Autumn | Winter | Check List

All-season bugs:
Ant
Bee
Pill Bug
All year
All year
All year
All day
All day
All day
Attracted to candy and turnips
in trees
under rocks
80 Bells
4,500 Bells
250 Bells