According to the latest leak Samsung Galaxy S22 is looking exactly same like Galaxy S21. The design was leaked from a former employee who shared Galaxy S22 and Galaxy S22+. The backside of Galaxy S22 and S22+ looks same like Galaxy S21 and S21+. The display has got smaller bezels and thinner frame which provides full-screen look.
The display appeared to be flat when you compare it with the previous ones which are without curves around the edges. The displays are brighter that Galaxy S21 family. You can also see Android 12 like UI on the screen but since it is a Samsung phone so it is very unlikely to come with Android look. The Ultra model will come with a P-shaped main camera, S-Pen slot and symmetrical dimensions just like Galaxy Note phone. It is also reported that Galaxy S22 Ultra will be known as Note 22 Ultra.