The book Berkeley Problems in Mathematics was a wonderful source of interesting, some different and challenging problems for (under)graduate students.
However, for a long time, I did not find see any changes in the printing of the book: it contains problems up to Fall $2003$.
Can one suggest some recent books of similar type, which contain (Under)Graduate Problems in Mathematics from various branches such as Algebra, Analysis, Topology, Differential equations etc., which are collected from an exam for Ph.D. program in a prestigious university or institute?