Many atomic clocks use just quartz oscillators (high quality Oven Controlled Crystal Oscillators).
The more expensive atomic clocks use either dielectric resonators (e.g. sapphire resonators), or superconducting cavities (e.g. from niobium or lead) or optical resonators (e.g. single-crystal silicon or germanium resonators for infrared light) which are cooled to very low temperatures (cryogenic resonators), to ensure much higher quality factors than possible with quartz resonators (the oscillators with cryogenic resonators can also have a better short-term stability than the active hydrogen masers).
The atomic clocks that produce continuous oscillations, so that they do not need another oscillator, are active masers or lasers. While there are many experimental types, the only commercial type are the active hydrogen masers.
The cheaper hydrogen masers are passive hydrogen masers, which are also used only to calibrate periodically another type of oscillator.