The first good dry vermouth I tasted was Dolin Dry Vermouth. With a healthy squeeze of lemon wedge into a smallish tumbler on the rocks it was just what the doctor ordered for a hot summer day. At around 17% alcohol, it drinks like a potent wine. You will want to refrigerate this and all vermouth once opened. They oxidize like wine.
Another dry vermouth worth mentioning is
Imbue Bittersweet Vermouth from Oregon. It is pretty wonderful, though a tad spendy. You can go with Martini or Noilly Prat to dip your toe in the pond.
So go on, give it a try. "Be Somebody!".