The types of auditory activities you would use would depend on your learning objective for the child and the type(s) of accommodations that need to be made for him, as specified in the IEP.
 
For reading and subject matter comprehension, audio books and videos would be high on my list.  Bookshare.org offers a broad range of audio books free to students with qualify disabilities:
 
http://www.bookshare.org/
 
The Learning Abled Kids website suggests many auditory activities and learning aids for LD kids.  These activities are useful learning tools for all kids, not just those with disabilities:
 
http://www.learningabledkids.com/multi_sensory_training/Page22-auditory2.htm
 
Mnemonics and songs are auditory devices I've used frequently to help with memorization of key facts.
 
Worksheets are visual activities.  I don't know of an auditory application with them.
 
A lot of lesson plans incorporate the activities suggested in Learning Abled Kids.  LearningReviews.com describes many websites with free lesson plans:
 
http://learningreviews.com/jreviews/Teacher-Tools-Categories/Education/Teacher-Tools/Lesson-Planning_c212_m47.html
 
Sites listed there, such as ArtsEdge and ArtsWork, have lessons that include drama and music integrated with math, science and social studies material.

Students with Auditory Processing Disorder (APD) and Central Auditory Processing Disorder (CAPD) cannot process the information they hear the same as others because their brains and ears are not completely coordinating together. These students do not always recognize the differences between sounds in words. The information going into the brain doesn’t always process an accurate outcome. Children with auditory processing difficulty have normal hearing and average to above average intelligence. This condition affects around 5% of school-aged children. APD and CAPD are both a persistent learning difference that one does not outgrow. With early detection, proper intervention, and certain accommodations, these students can improve their reading and spelling skills significantly and succeed academically.
 
 
A Few Symptoms of Auditory Processing Disorder:
 
 Difficulties paying attention
 Problems remembering information presented orally
 Poor listening skills
 Need extra time to process information received
 Unable to follow multistep directions
 Difficulties with reading, spelling, vocabulary and comprehension
 Often have language difficulties
 Easily distracted by outside noises
 
 
Treatment of Auditory Processing Disorder
 
The sooner a child with auditory processing disorder (APD) and central auditory processing disorder (CAPD) is given proper instruction, particularly in the very early grades, the more likely it is that they will have fewer or milder difficulties later in life.
These students will need intensive training in reading, writing and spelling using an Orton-Gillingham program. During this training, students will overcome many reading difficulties and learn strategies that will last a lifetime. Treatment will only “stick” if it is incorporated slowly and consistently over time. There is no such thing as a “quick fix.”
The best learning environment for a student with APD and CAPD is always one-to-one with very minimal distractions and outside noises. Students who have severe CAPD may need an intensive training program to catch up and stay up with the rest of their class.
 
It is also important that the classroom teacher provide lots and lots of visuals and "hands-on" learning techniques.  The child will need a multisensory learning environment - see it, say it, hear it, move with it.
 
Click on the link below for more information on APD: