Are there any remedies for mild asthma?

Yes: Most importantly, you should avoid what triggers your asthma and you may not need any medication at all. If you have allergies or acid reflux, treating that will help your asthma tremendously. You can use an albuterol inhaler as needed, or if you don't want prescription medicine you can use herbal or chinese medicine.

Yes: All asthmatics should be under a doctor's care who can determine what therapy is appropriate. People still die of asthma and even medically trained patients are poor judges of their own severity. (i have known 3-4 nurses and respiratory therapists who died of asthma).