Cheese straws. Basically homemade cheese crackers.
For something savory, chicken salad finger sandwiches or served in a bowl with crackers. I have a friend that does a macaroni salad with tuna that everyone loves.
Cheese balls. There are lots, both savory (eat with crackers) or sweet (with gingersnaps)
for the kids, especially, but I've found moms eat them, pb&honey or jelly cut into shapes with a cookie cutter
fruit. This time of year, I've seen lots of specials on strawberries, but whatever is cheapest
homemade baked goods tend to be pretty cost effective. Chocolate meringue pie is my cheapest go-to dessert. Mini tart shells make it really fancy. Brownies are also cheap (I do cocoa ones).
Iced tea (herbal, plain, punch), lemonade, and water, in pitchers. For some reason, pitchers always get everywhere all excited, even if the drinks are cheap.
And, I've just basically laid out my general shower or tea menu. LOL