Potential atmospheric compositions given a temperature range?

what are other compounds that can create clouds in these temperature ranges?

The first obvious one you're missing is methane... Titan, for example, has clouds of methane (or possibly ethane) which can likely produce methane rain.

The second obvious one is sulphuric acid, as represented in Venus' atmosphere, which is produced from sulphur dioxide, carbon dioxide and water. It is more of a haze than forming nice clouds, but it is an important opaque volatile so I'll include it here. Io gets sulphur dioxide too, but much less of it and so doesn't form clouds. Other atmospheres rich in sulphate aerosols seem quite plausible, and could also form from hydrogen sulphide.

I believe it is also possible to get CO₂ clouds under the right conditions... Mars sometimes develops these but I don't know if you're likely to get significant cloud formation as you might get with eg. water, but I'll include it for completeness.

There are probably some other volatiles that could form clouds, but I don't know what they might be. If you felt sufficiently keen, you could ask on the astronomy SE site.

what are some likely compositions for the atmospheres themselves at these temperature ranges?

A potentially useful magic phrase here is Jeans' Escape, or atmospheric escape. Basically, if the temperature is high enough or the gravity is low enough, lighter volatiles will simply escape from a planet's atmosphere into space. That's what has happened with Earth's hydrogen and helium, for example. The atmosphere will therefore largely consist of the lightest volatiles that are too heavy to escape over geological timescales.

This handy diagram pops up all over the place:

The underlying principle could be extended to any volatile that took your fancy. Do note that other effects (such as solar wind pressure on worlds without a magnetic field) will strip away atmospheres even on reasonably sized, cool worlds like Mars.

This should also show you that the simplistic temperature-based categorisation you've got above can also depend on other factors:

Class III: Between 350 K and 800 K, no clouds

Sudarsky's classes may be suitable for gas planets but not terrestrial ones... Gliese 1214b appears to be a water world with a temperature of 400-550K, and may in fact have clouds. Obviously there's some speculation involved here, but it is important to realise that any classification system is going to be imperfect.