Once you write a generic FuncEqualityComparer you can use it everywhere.
peopleList2.Except(peopleList1, new FuncEqualityComparer<Person>((p, q) => p.ID == q.ID));
public class FuncEqualityComparer<T> : IEqualityComparer<T>
{
private readonly Func<T, T, bool> comparer;
private readonly Func<T, int> hash;
public FuncEqualityComparer(Func<T, T, bool> comparer)
{
this.comparer = comparer;
if (typeof(T).GetMethod(nameof(object.GetHashCode)).DeclaringType == typeof(object))
hash = (_) => 0;
else
hash = t => t.GetHashCode();
}
public bool Equals(T x, T y) => comparer(x, y);
public int GetHashCode(T obj) => hash(obj);
}