SyncMate, Android to Mac sync tool, will sync contacts and calendars between Mac and Android for absolutely free. Note that data will be synced between contacts and calendar apps, not just transferred as backup files.
Extra sync options
With SyncMate Expert you can sync videos, music, images, playlists between iTunes or Photos on Mac and Android. You can also sync folders with files between Mac and Android using Android to Mac sync tool.
SyncMate allows mounting Android as Mac disk and browsing its content in Finder, managing Android texts directly on Mac, viewing call history and even backing up Android data on Mac.
Sync various models
If you own Andrloid phone or tablet running Android OS 4.x-6.x, SyncMate will sync it with Mac. Check out the list of modes you can sync your Mac with.