List of posts in each category

I have several categories and I wanted to know if there was a way to list all of my prior posts in EACH specific category. The only one I found (wdget) lists only one category’s posts no matter which page you are on. Can someone please help??

OR,..if there is a way to only include a summary of my posts in the category but you have to click on the title to view the entire post, that would work. I would just need to know if there is some sort of plug in that would automatically only show the summary, not the entire post.