“America is great – because America is good.”

This has often been attributed to de Tocqueville's Democracy in America, but erroneously, according to "The Tocqueville Fraud" http://www.weeklystandard.com/print/the-tocqueville-fraud/article/8100 in The Weekly Standard (13 November 1995). This quote dates back to at least 1922 (Herald and Presbyter, September 6, 1922, p. 8 http://books.google.com/books?id=3sYpAAAAYAAJ&pg=RA3-PT21&vq=%22I+sought+for+the+greatness+and+genius+of+America+in+her+commodious%22&source=gbs_search_r&cad=0_1)
There's an earlier variant, without the memorable ending, that dates back to at least 1886:
I went at your bidding, and passed along their thoroughfares of trade. I ascended their mountains and went down their valleys. I visited their manufactories, their commercial markets, and emporiums of trade. I entered their judicial courts and legislative halls. But I sought everywhere in vain for the secret of their success, until I entered the church. It was there, as I listened to the soul-equalizing and soul-elevating principles of the Gospel of Christ, as they fell from Sabbath to Sabbath upon the masses of the people, that I learned why America was great and free, and why France was a slave.
Empty Pews & Selections from Other Sermons on Timely Topics, Madison Clinton Peters; Zeising, 1886, p. 35 http://books.google.com/books?id=f54PAAAAIAAJ&pg=PA35&dq=de+tochneville&ei=w1YCSbS3JoTkygS2g_mvDQ
Misattributed

Presidential campaign (April 12, 2015 – 2016), Speech in Warren, Michigan (August 11, 2016)

When asked if Donald Trump is racist.
Presidential campaign (April 12, 2015 – 2016), Democratic Presidential Debate in Miami (March 9, 2016)
Context: I was the first one to call him out. I called him out when he was calling Mexicans rapists.... His demagoguery, his trafficking in prejudice and paranoia has no place in our political system. Especially from somebody running for president who couldn’t decide whether or not to disavow the and David Duke. So people can draw their own conclusions about him. I will just end by saying this. You don’t make America great by getting rid of everything that made America great. I think it’s un-American. I think what he has promoted is not at all in keeping with American values.

Attributed in FBI Memo, February 13, 1950 (item 61-4099-25 in Einstein's FBI file—viewable online as p. 72 of "Albert Einstein Part 1 of 14" here http://vault.fbi.gov/Albert%20Einstein, as well as p. 72 of the pdf file which can be downloaded here http://vault.fbi.gov/Albert%20Einstein/Albert%20Einstein%20Part%201%20of%2014/at_download/file). There is no other information in the FBI's released files as to what source attributed this statement to Einstein, and the files are full of falsehoods, including the accusation that Einstein was secretly pro-communist, when in fact he was openly so Albert Einstein#Vierick Interview (1929)
Disputed
Context: In December, 1947, he made the following statement: "I came to America because of the great, great freedom which I heard existed in this country. I made a mistake in selecting America as a land of freedom, a mistake I cannot repair in the balance of my life."

citation needed
The Late Late Show with Craig Ferguson (2005–2014), Commonly repeated

2016, DNC Address (July 2016)
Context: America is already great. America is already strong. And I promise you, our strength, our greatness, does not depend on Donald Trump. In fact, it doesn’t depend on any one person. And that, in the end, may be the biggest difference in this election — the meaning of our democracy.
Ronald Reagan called America “a shining city on a hill.” Donald Trump calls it “a divided crime scene” that only he can fix. It doesn’t matter to him that illegal immigration and the crime rate are as low as they’ve been in decades — (applause) — because he’s not actually offering any real solutions to those issues. He’s just offering slogans, and he’s offering fear. He’s betting that if he scares enough people, he might score just enough votes to win this election.
And that's another bet that Donald Trump will lose. And the reason he'll lose it is because he’s selling the American people short. We're not a fragile people. We're not a frightful people. Our power doesn’t come from some self-declared savior promising that he alone can restore order as long as we do things his way. We don’t look to be ruled. Our power comes from those immortal declarations first put to paper right here in Philadelphia all those years ago: We hold these truths to be self-evident, that all men are created equal; that We the People, can form a more perfect union.
That's who we are. That’s our birthright — the capacity to shape our own destiny.

President Bill Clinton — reported in Seth Borenstein (July 23, 1998) "Astronaut Filled America's Need for a Space Hero", Detroit Free Press, p. 1A.
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On his play The Chickencoop Chinaman (as quoted in the book Notable Asian Americans http://smithsonianapa.org/wp-content/uploads/sites/8/2009/10/chin-frank.pdf)