How do I find PsiElements of any type conditionally in a project?

I tried to find any utilities like Searchers of Finders, but no luck.

Here are some examples:

• find all psi literals -> condition: literal in a specific psi method call parameter
• find all psi methods -> condition: annotated with specific psi annotation
• find all psi fields -> condition: of specific type

I have found a search solution for methods:

AnnotatedElementsSearch
        .searchPsiMethods(annotationClass, myElement.getResolveScope())
        .findAll();

But for other cases no utils found.