Great! Here's a fun example.

Let \$$A\$$ be any set, and make it into a preorder by defining every element to be less than or equal to every other element. Do the same for some set \$$B\$$. Then any function \$$f : A \to B\$$ is monotone, because we have \$$f(a) \le f(a')\$$ no matter what \$$a,a' \in A\$$ are. Similarly any function \$$g : B \to A\$$ is monotone. And no matter what \$$f\$$ and \$$g\$$ are, \$$g\$$ will be be a right adjoint to \$$f\$$, since

$$f(a) \le b \textrm{ if and only if } a \le g(b)$$

(both are always true). Similarly, \$$g\$$ will always be a left adjoint to \$$f\$$.

This shows that when we make our preorders as far from posets as possible, right and left adjoints become ridiculously non-unique.