Am running Android 4.2.2 on a CUBOT smartphone, but cannot sync my contacts from Gmail as the ONLY sync adapters showing in the Settings-Accounts-Google section are 'App Data' and 'People details'. Both these apps, if un-checked then checked pretty much instantly come back with a 'Last synced 14/10/2013 09:38' (or whatever time date-stamp is accurate), but nothing seems to have changed. I seem to be missing just a plain old 'Contacts' sync option. Being new to Android - I haven't a clue how to progress, or where to download/install 'contacts'. Advice greatly appreciated.
Try haxsync. It's the best. It's working on Android 4.2.
I've had the same problem but using CCleaner I solved it. I had too many registers of calls. Cleaning for 3 hours with CCleaner was the solution.