With Java 8:

Comparator.comparing((Person p)->p.firstName)
          .thenComparing(p->p.lastName)
          .thenComparingInt(p->p.age);

If you have accessor methods:

Comparator.comparing(Person::getFirstName)
          .thenComparing(Person::getLastName)
          .thenComparingInt(Person::getAge);

If a class implements Comparable then such comparator may be used in compareTo method:

@Override
public int compareTo(Person o){
    return Comparator.comparing(Person::getFirstName)
              .thenComparing(Person::getLastName)
              .thenComparingInt(Person::getAge)
              .compare(this, o);
}

The “different member variables” is irrelevant. It’s an implementation detail. What you need is a set of rules which of two people comes first.

You could for example sort by family name, then given name, then date of birth, and if these are all three equal, take the name of the school, university or company (which will be different member variables) and compare them as strings. If that is equal, you might have student and employee ids, and the student ids might be unique, and the employee ids might be unique, but student and employee ids might be the same. So you could sort then students first ordered by id, followed by employees sorted by id, if you might sort by if first if student and employee ids are comparable.

(University or school and employer might be the same, because universities are also employers).

There's a very hacky way of doing it that allows you to use Object and instanceof but if you can implement a proxy class that exposes a specific interface you would be better off doing that.

class A {

    public String getSomething() {
        return "A";
    }
}

class B {

    public String getSomethingElse() {
        return "B";
    }
}

class C implements Comparator<Object> {

    @Override
    public int compare(Object o1, Object o2) {
        // Which is of what type?
        A a1 = o1 instanceof A ? (A) o1: null;
        A a2 = o2 instanceof A ? (A) o2: null;
        B b1 = o1 instanceof B ? (B) o1: null;
        B b2 = o2 instanceof B ? (B) o2: null;
        // Pull out their values.
        String s1 = a1 != null ? a1.getSomething(): b1 != null ? b1.getSomethingElse(): null;
        String s2 = a2 != null ? a2.getSomething(): b2 != null ? b2.getSomethingElse(): null;
        // Compare them.
        return s1 != null ? s1.compareTo(s2): 0;
    }

}

The more acceptable mechanism would be to implement a proxy class for each that implements a common interface tyhat can then be compared using a proper type-safe comparator.

interface P {

    public String getValue();
}

class PA implements P {

    private final A a;

    PA(A a) {
        this.a = a;
    }

    @Override
    public String getValue() {
        return a.getSomething();
    }
}

class PB implements P {

    private final B b;

    PB(B b) {
        this.b = b;
    }

    @Override
    public String getValue() {
        return b.getSomethingElse();
    }
}

class PC implements Comparator<P> {

    @Override
    public int compare(P o1, P o2) {
        return o1.getValue().compareTo(o2.getValue());
    }

}