The Slayers anime was released in the 90s based on a series of light novels. It was considered one of the top anime of the 90s.
A well established wiki can be found here, that gives all the usual wiki details and even has a fourm page that has fanart, merchandise and much more.
In a medieval sword and sorcery world, there is one mage who is
notorious for her power and grace (at least that’s how she likes to put
it), Lina Inverse. In reality, she is a teenage mage with a penchant for
collateral damage, obnoxiousness and gluttony. This series chronicles
her adventures with companions, such as the powerful but dumb swordsman
Gourry Gabriev as she quests for gold and finds a heck of a lot trouble
along the way. (Source IMDb)