Almost Like ように

先生のように, 毎日のように, both use のように directly on a noun, “like a teacher,” “like it’s every day,” pulling in that noun as the standard being compared to. It doesn’t need to be literal, 毎日のように often just means “almost every day,” an exaggeration for emphasis.

ように見える, “looks as if,” pairs ように with 見える (to appear visually) for a vivid, image-based comparison, often used to describe how something looks from the outside, closely related to the visual そうだ but built with a fuller descriptive clause instead of just an adjective stem.