Wellbutrin is actually not equipped to soothe anxiety, it is solely for depression. However, if you're like me, reducing the depression can help with anxiety if your anxiety tends to be a symptom rather than actual disorder.
As for other things it can do, it can aid smoking cessation, help seasonal affective disorder, reduce sexual side effects of other medications, cause weight loss, reduce fatigue, and can increase concentration. In some cases, it can act as a mild mood stabilizer. But in general, it should jut decrease your depression. It has done that quite well for me, especially in reducing suicidal thoughts. Good luck!