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Ah but it does mater. Take a look at the big bang. If we measure the speed in its true form as you eloquently establish of the stars, planets and how far or fast they are moving in relation to earth we begin to detect a pattern. That pattern indicates that the origin of the universe is in fact elsewhere and not earth. This would lend credence to the idea that the earth has moved or is continuing to move. The further the change of stars or lack of movement of the stars further lends weight that the Earth is not the center of the universe.

If the Earth is not the center of the universe then it must be moving in relation to another celestial point, whether that's a black hole, a ballistic direction or whatever. When we're talking about the scale of the universe we need to keep in mind its history and future trajectory and some of it does not appear to care where the earth is or what it is doing at any given time.

More locally, it is argued that the spinning of the earth generates the magnetosphere or the earths magnetic field, the thing that creates the Aurora Borealis (Northern Lights). If this wasn't here our protection from the radiation of the sun and cosmic radiation would be greatly reduced. Additionally you would notice a distinct increase in gravity. Lets take a more involved look at that. So the earth's gravity is currently at 1, lets say. This is however eased by it's spinning. Think, swinging a bucket of water with a piece of string. It might even mean that clouds come much closer to the ground if that spinning didn't happen.

The tides are strongly linked to the moon but weather patterns and the currents are also tied to the Coriolis effect, this is pretty much the local evidence you were looking for. If the earth were not moving, you wouldn't find the Coriolis effect because it simply could be be generated, it basically requires the earth to be in motion.

Does this sate your curiosity?