This quite often depends on the project. I can't use the same font for every project because that just wouldn't work. Times New Roman is great for online resumes for example but it's been used a million times. If you want it to stand out a little try Garamond or Helvetica. Georgia is a great font for anything online such as websites since it will also display well in small type size and was actually designed with computer screens in mind.
Typography has a few major categories such as; modern, decorative, sans serif, slab serif, antique, etc. Look into those types and find out what kind is best for you to use in each project then head over to Google fonts. (Yes, some of them have a cost to use!) Another good rule is to use two different fonts that contrast nicely with each other. Garamond and Helvetica italic for example.