This privacy-conscious messaging app comes from Open Whisper Systems who bear Edward Snowden's seal of approval, no less. This app doesn't record metadata of messages i.e. the mobile phone numbers of your contacts, the number and time of messages and so on. 

Wire is the most secure collaboration platform that offers text chats, voice, video and group calls, and file sharing for organizations and for personal use. It has beautiful UI and uses various of cryptography and security methods to protect the user.

Telegram is a cloud-based mobile and desktop messaging app with a focus on security and speed.