A Fun and Comfortable Space (1): Some ways to make the basement family room more fun and entertaining would be to have a pool table (2) or a pit, pillow mound, or beanbags in front of the TV area seen in picture (3). If you want to turn your basement TV room into a home theater have a look at our post here for ideas: (Designs and Ideas For a Basement Home Theater).
Snacks and Drinks: A bar countertop is something to have in a family living room (4), along with a small refrigerator for drinks and snacks. If you want to go a step further there is the option of a dry or even a wet bar (8 Different Basement Bar Ideas and Designs).
Dividing Into Rooms: If you have a large basement space it can be divided up to create multiple rooms. Or even just hanging curtains can be used to hide away different areas:
Storage: Just like any family room, it will need storage. Built in or free standing? Have a look at our post here for ideas (In The Basement: Storage and Organization Ideas).
The Nook (5): Some unique basement family room ideas revolve around the nook under the staircase. A lot of people have turned that space into a cozy office, playroom, or storage space – The Space Under The Stairs: Ideas and Designs.
Lighting: Lighting is also an important part in making a basement feel like a comfortable space. For ideas on how to light the basement the best way have a look at our post here (Design Guide: Basement Lighting Ideas and Options). (6) Windows are one way to do this, as it brings in sunlight during the day – some places will require you to have certain types of windows fitted into a basement because of fire concerns.
The Walls: (7) For ways on decorating the walls of the basement have a look at these two posts: (Decorating Basement Walls: Ideas from Stamped Concrete to Chalkboard Paint) (A Palette Guide To Basement Paint Colors). 1/2/3/4/5/6/7