Practical examples to determinism and periodicity of analog signals?
Well we're working in a gray area here, since notions such as "deterministic" and "periodic" are already theoretical constructs. For example by their definition they typically presume that the value of the signal can be specified from \$- \infty &lt; t &lt; \infty\$, and that can never be true for any "practical" signal. So here we are going to make some approximations.

Deterministic and periodic: like you said this is pretty easy. A sine wave, for example. (As the above, it is only "deterministic and periodic" while the function generator is on and we ignore the noise, but that's kinda what we mean by "practical" here.)

Deterministic and aperiodic: well a DC voltage would probably qualify, but that's academic and debatable. Probably a useful real-world example would be a decaying voltage in an RC circuit \$v(t) = v_0e^{-t \over RC}\$ for \$t \geq 0\$. The value is always changing but never repeats.

Non-deterministic, but periodic: pretty sure this is impossible, in any practical sense. If we cannot predict the future value of the signal, then how can we say that it repeats? You could meet this definition with a looser definition of "periodic", for example an FM signal where the specific frequency randomly varies over time.

Non-deterministic and aperiodic: any noise signal meets this definition. Even some function generators will have a noise generator output. Or you can build a simple avalanche diode noise generator and create your own non-deterministic aperiodic signal.