Two of the Oscar nominees for Best Short, one animated, one live action, are available online.
The cinetrix suggests that you start by watching Ryan, an homage to a fellow Canadian animator, who was himself nominated for an Oscar in 1969 and is now an alcoholic, bilingual panhandler on the streets of Montreal [in the shadow of Schwartz's, no less]. It's grim, fantastic, and beautiful.
After that, you'll need a palate cleanser, which is where Nacho Vigolondo's distinctly odd live short, 7:35 de la mañana comes in. Imagine a twisted, 8-minute musical, complete with bricolage, choreography, you name it.
Here's a brief description from Vigolondo's blog [which is worth checking out if your Spanish isn't rusty]:
Una mañana, una mujer percibe algo extraño en el bar donde desayuna todos los días: todos los demás clientes y camareros están en silencio.
Todos miran al suelo. Nadie toca su desayuno.
De repente, se oye una canción.
And what a canción it is. Not only will you never look at the regulars at your local coffee house in quite the same way after seeing this short, you'll find yourself singing snatches of the title song all day.