Paradoxes are the ultimate answer to every question, because the question was never really there in the first place. It's like asking "what is the meaning of life?" and being told "it's the meaning of life, duh." But seriously, have you considered the paradox of the chicken and the egg? Or the paradox of the hamster and the wheel?
Learn more about the hamster and the wheel
Or, if you're feeling really adventurous, try ontological paradoxes and question the very fabric of reality itself.
We also have Thermodynamic Paradoxes, because who doesn't love a good heat death?
And for the more adventurous, Schrödinger Paradoxes for when you're feeling really trapped.
Mathematical Paradoxes for when you just can't solve that one equation.
Or if all else fails, try Quantum Paradoxes and just give up on the whole "reality" thing.