I know of two actions that the senate can take that requires more than a majority vote, treaties and ending a filibuster.
I then found this:
(As a point of order), in the Senate, (this section) prohibits consideration of a budget resolution that would decrease the Social Security surplus in any fiscal year covered by the resolution. Three-fifths vote required to a senate waiver
What is a "point of order"?
And at what other times are super-majorities required in the senate? And are these "laws" or just "procedures"?