MagSafe animation not working

If you mean the MagSafe Charging Circle when you put your phone on a MagSafe compatible charger, you must have a charger which is at least 15 watts and use a charging plug which is at least 20 watts. Many 3rd party MagSafe chargers don't output 15 watts and will charge, but won't charge at the 15 watt maximum MagSafe speed.

Is your charger Made for MagSafe? There is a difference and you'll see loads of supposed MagSafe chargers on Amazon, which most definitely are not Made for MagSafe and will NOT show the charging circle. Your phone will know if it is being charged by a Made for MagSafe charger, because they have an NCF chip in them to provide the proper wattage to the charging coil in the phone.

Does this really matter? Honestly no. If your phone is charging when you put it on the charger, it's likely just fine. But if you want the "animation" as you call it, you need what I suggested above.

”MagSafe animation”?

You expect to see moving images related to MagSafe?

Try your phone without the case. If it works, it's the case you're using and I'd get a different case.