Tree of Heaven
The Tree of Heaven has a bit of a misleading them. While these are beautiful, these trees that are native to China grow so quickly that they quickly overtake and destroy anything in their path. They also produce a large number of seeds, ruining any vegetation that may be nearby.
Birch Trees
Birchtrees are known by their distinctive white bark that makes them look almost otherworldly. However, once they take root, they repel all other plants. Their shallow roots cause soil to harden, taking up the space all around them. They also attract many pests.