One song with a simile right in the title is "As Cold As Ice" by Foreigner.

Another is "I Am Like A Bird" by Nelly Furtado.

Also, the song "Hawkmoon 269" by U2 on the Rattle and Hum Album contains the following metaphors:

Like a desert needs rain,

Like a town needs a name,

I need your love.

Like a drifter needs a room,

Like a needle needs a vein,

I need your love.

A fourth example:

In the song "Like A Circus" by Britney Spears is the following metaphor:

All eyes on me

In the center of the ring

Just like the circus

Lastly, here's a few more:

A woman needs a man like a fish needs a bicycle - U2

Cheaper than a hot dog with no mustard - Beastie Boys

I must do what's right, as sure as Kilimanjaro rises like Olympus above the Serengeti - Toto

It's been a hard day's night, and I've been working like a dog - The Beatles

Like A Rolling Stone - Bob Dylan

Like a bat outta [out of] hell - Meat Loaf

My heart is like an open highway - Jon Bon Jovi

These are the seasons of emotion and like the winds they rise and fall - Led Zeppelin

Thick as a Brick - Jethro Tull

You are as subtle as a brick to the small of my back - Taking Back Sunday