Which is grammatical:
Charity work gives tremendous job satisfaction, which wouldn't be compared to other kinds of jobs
or:
Charity work gives tremendous job satisfaction, which wouldn't be compared to other kind of jobs
I already know that when you use “other" then it is followed by plural noun: other*people(plural, compoun noun), other books... etc.
Does “other" takes only a single noun exactly right after it is used in sentence? Or it can take suceeding plural nouns in a sentence?
You shouldn’t think of “kind” as a separate noun here – think of it as part of a noun phrase.
Your sentence can be thought of as:
...which wouldn't be compared to other X
where X functions as a plural noun. So, you could write it as:
...which wouldn't be compared to other jobs
but using a plural noun phrase works fine, too:
...which wouldn't be compared to other types of work
(In that example, we use the singular work, because work in that context is a mass noun.)
Getting back to your examples, you need to use the plural form “kinds”:
...which wouldn't be compared to other kinds of jobs.
You can actually omit the “of jobs”, and see which sentence sounds grammatical:
...which wouldn't be compared to other kinds → (okay)
...which wouldn't be compared to other kind → (wrong)
One more interesting fact: you can use a singular noun phrase if you change other to another:
...which wouldn't be compared to another kind of job
