As with any modern table, what you look for in a modern console table will depend upon how you intend to use it. If you live in a very small space, obviously size will be a major factor in selecting the most appropriate contemporary console table for a specific area of your home, but size aside, whether the primary function of your modern table is practical or esthetic should help drive your decision and arrive at the best solution.
If your contemporary console tables need to be highly functional, in addition to esthetically pleasing, look for drawers and other storage elements that provide added functionality besides a roomy and convenient surface area. Contemporary console tables that will likely get plenty of use should be materially sound. So, ensuring that a modern table comprised of durable materials, and is well crafted and easy to maintain should absolutely inform your decision.
Conversely, if functionality is less of a concern, and acquiring beautiful, visually striking contemporary console tables are the major consideration, then the wide selection of artful modern console tables readily available today will make your selections that much easier.