OK, here's what I have, Presidents wise:
Andrew Jackson (1825-28) -- known for many failed initiatives, like Indian Removal or shutting down the National Bank -- but most infamous for shooting his VP, John C Calhoun, dead in a duel, amidst the nullification controversy.
Henry Clay (1829-36) -- known for implementation of the American Plan, which sees massive economic and infrastructure development, both in the north and the south; for belatedly (and reluctantly) intervening in Georgia, restraining white settlers to enforce Worchester v US; and overseeing further settlement in the west (as OTL)
JQ Adams (1837-40) -- continues most of his predecessor's policies, also calls for a Transcontinental Railroad
Lewis Cass (1841-48) -- known for annexation of the Republic of Texas (1842), subsequent War with Mexico (more or less ending with capture of Mexico City, 1844), and annexing Alta California and Nueva Mexico in peace treaty with Mexico (1845). His second term is known for his popular sovereignty positions leading to Bleeding California and Bleeding Kansas, as well as beginning construction of the Transcontinental Rail.
Also of note, Abraham Lincoln runs for the House of Representatives in 1834, wins, and is elected Speaker of the House in 1847. I note this because...
In 1848, John C Fremont, hero of Mexican War (did much in California as in OTL) is elected President, with Lincoln as his running mate. A major part of their platform is halting the spread of slavery in the new territories...
EDIT ADD: I had considered Daniel Webster to be elected 1848, but thought at 68, it seemed a little ASB. What do you think?