Inversive Congruential Generator
The inversive congruential generator is not commonly used in cryptography. Its basic description, in fact, makes it entirely unsuitable for it—once you know a single value of $x$, you can predict the remainder of the sequence, which is something a secure pseudorandom generator should not allow.

To avoid the above trivial attack, you could truncate the output to, say, half of the bits of $x$. But the truncated inversive generator is also predictable by more elaborate means, as long as you truncate fewer than half the bits.

To top it off, inversion modulo $p$ is a very slow operation, which makes this generator very inefficient. So even for non-cryptographic purposes this is not a good generator to use.