Twilio - Brings voice and messaging to your web and mobile applications.
Intercom - Intercom is a customer relationship management and messaging tool for web businesses. Build relationships with users to create loyal customers.
Nexmo - Nexmo is a simple two way SMS API with global reach and wholesale rates
tawk.to - tawk.to is a free live chat app that lets you monitor and chat with visitors on your website or from a free customizable page
Clockwork SMS - Clockwork is an Easy Text Message API. An SMS API for Developers. Build powerful apps and include SMS. Signup is free, Try it now.
JivoChat - JivoChat is a live chat that enables you to talk to visitors on your website