Yes, uniform distribution on $(0,\theta)$ ($\theta>0$) is an example. In this case we can write the density function as
$$
  f(x; \theta) = \frac1{\theta}\cdot I(0 < x < \theta)
$$
where $I$ is the indicator function.  Then the likelihood function from an iid sample can be written
$$
L(\theta) = \prod_{i=1}^n f(x_i;\theta) = \prod_i \frac1{\theta}  I(0 < x_i < \theta) = \\ 
   \frac1{\theta^n} \prod_i I(0 < x_i < \theta) = \\
  \frac1{\theta^n} I(0 < \max_i x_i < \theta)
$$
and now you can invoke the factorization theorem and conclude that $ \max_i x_i $ is a sufficient statistic.