SyncMate allows syncing contacts and calendars between Mac and Android devices for absolutely free. Note that data will be synced between calendar and address book apps on devices, not just transferred as a backup file. Sync is performed in the background.
Sync even more
With Expert Edition of SyncMate you can sync images, videos, music, playlists, folders with files, Safari bookmarks, etc. You can sync this data automatically, just set parameters of sync once and they will be implemented during further sync sessions.
SyncMate Expert allows mounting your Android device as Mac disk and not only browsing its content in Finder, but also transferring any files between Mac and Android. You can manage SMS on Mac, view call history, or even back up Android data on Mac.
Sync various models
SyncMate is compatible with any Android 4.x-6.x device. Below are the usage scenarios for the most popular devices.