You can search for a specific journal/magazine/newspaper using Periodical List or browse by subject area.
You can use the call numbers on the linked catalog record if you want to look at an issue of one of these titles that is older that the past 1 or 2 years. You can find those in the stacks at the call number listed, on the 3rd floor, back to 1980. If the year of the issue you want is older than 1980, it will be where the call number listed is usually found in the library on the 5th, 6th, or 7th floors.