There are several trees with heart-shaped leaves, including:

1. Silver Linden (Tilia tomentosa): A huge tree that can grow up to 50-70 feet tall, native to Europe, Asia, and Turkey and grows best in USDA Zones 4-7.
2. Hearts Of Gold Redbud Tree (Cercis canadensis): A specimen with heart-shaped foliage that changes color from emerald to golden-green and gold in different seasons of the year.
3. Northern Catalpa (Catalpa speciosa): A deciduous tree that produces white, fragrant, beautiful flowers and heart-shaped leaves.
4. Western Redbud (Cercis occidentalis): A tree with heart-shaped leaves that is not too demanding about growing conditions and needs bright sunlight to thrive well.
5. Quaking Aspen Tree (Populus tremuloides): Famous for its unique pale bark with dark markings and heart-shaped leaves that can turn golden yellow in the fall.
6. Flame Thrower Redbud Tree (Cercis canadensis NC2016-2): A newcomer to the horticultural industry, colorful and resembles a vine wrapped.
7. Foxglove Tree (Paulownia tomentosa): A pesky invader in some parts of the world, with large heart-shaped leaves.

Note that some of these trees have specific varieties or cultivars with heart-shaped leaves, such as the Flame Thrower Redbud Tree and the Hearts of Gold Redbud Tree.