Peppermint as well as Lavender are funny individuals.
Lavender will give many individuals headaches. This is due to it being cut with camphor chemical plant or non plant. It eases anxiety for some. It does not cure. We have to be careful with "cure" terms. The best essential oil, imho, is Lavendula angustifolia. From a company that ensures pureness for aroma therapeutic purposes. An experience of bad lavender is not one many folks soon forget and it can turn a person away from lavender forever.
Peppermint, now here we have a two way street. It is both a stimuli and a relaxant.
So yes for many people at certain levels, it most definitely will perk a person up. However drank lightly in a tea it can in fact calm. Remember essential oils, flavor oils, and plant matter are all different. So peppermint as an herb doesn't always have the same effect as peppermint as an E.O. or as a flavor.
Chamomile very spendy but a sure fire asset
Lavender (Lavendula angustifolia)
Bergamot
Geranium
Jasmine (will be in form of absolute)
Lemon Grass
Litsea Cubeba
Melissa
Rose (Damenasca, this is an absolute as the Jasmine. VERY spendy but just a ittty bitty amount is all that is needed.)
Many others. I just cannot stress enough the importance of purity. Otherwise using as an aroma therapeutic is useless.