I remember lemon balm being an easy one to grow and thrive indoors.
Wish I had thought to pot some up. I used to bring a sage plant in every winter. They didn't like it much, but survived alright, and would then enjoy 'retirement' to a good garden spot. I meant to bring one in this year and even spotted a small branch that had rooted ideal size for the purpose, but didn't get around to it.
Both lemon balm and thyme greatly benefitted from the winter indoors. A spring of LB would fill up a five gallon pot with roots by springtime. Hey presto, divide for a bigger bed of them outdoors. Thyme got leggy but the whole green sprouts were tender enough to eat stem and all. They got quite bushy from being cut back and overall much stronger than the same size plant after suffering through our winter.
One thing I could never get to grow in a pot indoors, is hyssop. They never made it through a winter.