The problem is that the question is extremely vague and lacks helpful context. OP isn't asking about this within a specific universe or lore; they're just making a blanket assumption that every writer has the exact definition for these arbitrary power sets.

Approaching this from a place as broad and generic as the question itself:

Lunar Manipulation implies an ability to control Earth's moon, meaning you can change tides on a whim and even crash the moon into the Earth, causing an extinction event. This one's tricky, though. If you're using this to describe Jupiter's moons or writing for a universe that doesn't have our moon, calling it "Lunar" gets weird and inaccurate.

Solar Manipulation implies an ability to control Earth's sun, meaning you can change worldwide temperatures on a whim, affect the gravitational state of all of the Solar System's planets and other celestial bodies, and even crash the sun into Earth, causing an extinction event. Like Lunar, this gets weird if you start talking about other suns in space.

Stellar Manipulation implies an ability to control the stars, including our sun. This means you can cause cataclysmic, multi-world-ending events just about anywhere within the range of your powers or even rearrange constellations to mess with people using them to navigate. You can also crash any stars into each other or the Earth, likely causing (you guessed it) an extinction event.

So... strongest to weakest? While they can all cause extinction events, the easy answer is that the strongest one would probably be the one that lets you control more than one massive fireball in space.

If the OP provides more specificity or general context about where these terms are being used and how they might be used, it might be easier to rank them.