  This is a very brief report on recent developments on the Dirichlet problem
for the minimal surface system and minimal cones in Euclidean spaces. We shall
mainly focus on two directions:
  (1) Further systematic developments after Lawson-Osserman's paper \cite{l-o}
on the Dirichlet problem for minimal graphs of high codimensions. Aspects
including non-existence, non-uniqueness and irregularity properties of
solutions have been explored from different points of view.
  (2) Complexities and varieties of area-minimizing cones in high codimensions.
We shall mention interesting history and exhibit some recent results which
successfully furnished new families of minimizing cones of different types.
