At first glance, Andrew Jackson and Abraham Lincoln appear to have few similarities. Lincoln is most famous for liberating the slaves, whereas Jackson was a supporter of slaveholders' rights. However, if we look closer at how the two presidents treated their role as president, some similarities do emerge.
Lincoln and Jackson both faced crises in which a state or states threatened to secede. With Lincoln, it was the Civil War in which nearly the entire South rebelled. Lincoln refused to allow this and the bloodiest American war was fought to preserve the Union. Jackson also went to great lengths to maintain the Union, although his situation was not as extreme. In 1832, South Carolina declared several federal tariffs to be unconstitutional and threatened to secede over the issue. Thankfully Jackson did not have to resort to military conflict to prevent this, although both sides were prepared to fight.
Both President Jackson and President Lincoln expanded the role of executive power. This even occurred in relation to issues that violated individuals' constitutional rights. During the Civil War Lincoln authorized an act that allowed him to suspend habeas corpus. For Jackson's example, we can look at his refusal to recognize the Supreme Court's 1832 ruling recognizing the Cherokee as a sovereign nation. As a result, Jackson ordered the removal of the Cherokee to the West in what is known as the Trail of Tears.
Less relevant to their presidencies, but still noteworthy is the similar humble backgrounds of the two presidents. Andrew Jackson's parents were poor immigrants who had settled in a remote area on the North Carolina and South Carolina border. Lincoln was born in a one-room log cabin in Kentucky. Both were able to shed their humble origins.
Perhaps irrelevant, but still an interesting similarity is that there were assassination attempts on both presidents. Of course, Lincoln did not survive his and became the first president to be murdered. Jackson survived the first ever assassination attempt on a US president. Luckily for him, the would-be assassin's guns misfired.