The type of font pairings you choose is likely to vary depending on the type of project you're working on. For example, CVs need heavy headers and clean body text, while flyers and posters for events can work well when they have quirky or funky display text to get grab attention paired with a much cleaner body text for contrast and legibility of the important details.
Social media content is shown at relatively small sizes, so it needs both fonts to be quite clear, but you can still look for a bold, more stylish font for the display text and something nice and crisp for the body. A popular combination for event invitations is to use a script font for the display text and an elegant but clean and legibly sans serif for the body copy.