Please name some good movies based on true events.

Zodiac was pretty good
Tora Tora Tora was very faithful to events, but a bit on the dull side (Pretty, though)
Waterloo was wonderful, despite it's age (46 years ago)
Woman in Gold was good

THE MONUMENT MEN and WOMAN IN GOLD are both very good, particularly if you have any interest in art and/or history.

Alive, Casino, Bronson, Frozen Grounds,Catch me if you can.

We Are Marshall did a lot for me as I was close to that.

X-men united

Twilight.

Trumbo

I watched Deepwater Horizon recently and liked it...

Zero dark thirty about the hunt for Osama Bin Laden.

Zodiac

The Final Hours

the perfect storm

On a serious note though, The Pianist is excellent

And I saw American Sniper recently also excellent

Independence Day

Blood diamond.
Australia.
Toy story.