Top 5 Free Communication App for Android

Phonalyzr 

Phonalyzr displays useful graphs and usage summaries of your calling habits.

Phonalyzr uses your call and SMS logs to display graphs and usage summaries, giving you a new look into your phone usage habits. Track minutes and usage using summaries and 17 graphs such as top callers, phone usage over time and others.

App has a Google ad. Buy "Phonalyzr Pro" to get data tracking and no ads.

Call Meter NG 

Call Meter lets you keep an eye on your mobile plans.

It shows statistics of your calls/sms/txt/data traffic and lets you set limits for each of these plans.
Call Meter supports a huge amount of billing modes to let you adapt it's behaviour to your operators billing.

This app is open source software build in spare time. Adding bad comments in market won't help much to make it better.

Record My Call 

This application has a basic purpose to record all your call (incoming and outgoing). Please be noticed that due to limitation of Android phone (hardware and software), this program only can record from microphone. Please turn on the loudspeaker during conversation to get clear voice from the other side. All conversations are recorded under file “RecordMyCall” file in memory card.

Features:
-Record incoming and outgoing call from microphone.
-All files are saved in memory card.

My Data Manager 

Take control of your mobile data - save money & use your plans more effectively.

Take control of your mobile data. Monitor app data usage for your home and roaming plans. Set usage alarms to manage your bill. Track historical consumption to ensure you are buying the ideal plan and maximize how you use your data. Monitor per app data consumption to understand what apps are consuming the most data, and what apps are almost free. Save money by using your data plans more effectively.

SMS Counter 

Do you know how many SMS you have sent this month? Threaded message dialogs don't make counting easy. This app will help you tracking how many sms you have sent and received. It even provides counting for the past months. No more busting your sms quota!
Note: Works only with the build-in android sms app!