In Switzerland there is also carrot cake, but no cream cheese icing. This came up in my Facebook feed last week, so it’s also popular here. Powdered sugar is more common as a topper, sometimes vanilla icing.
I never had carrot cake for Easter as a child, it’s not something my parents make often. When I was little my mom took a cake decorating class, and would make decorated cakes for all holidays. So we each got a little egg shaped cake with our name on it for Easter. And we’d have rice pudding.