I don't know the area around the Eiffel Tower well. The immediate area is a giant park and tourist hell, and south of there is ugly and inhuman in scale. But it's also a popular place to live and work. And there are some sympa restaurants there, like Le Suffren.
It's a straight-up brasserie, lots of closely set tables and a menu with food options from oysters to fresh fish to steak to my pasta with tandoori chicken. Many of the locals were eating seafood, including an enormous fruits de mer platter, so maybe that's there special thing. The lunchtime crowd is fun, a bunch of Parisians enjoying a good meal without much fuss. And the service and food are a notch above the usual brasserie. Recommended, particularly if you're in the area and want something truly Parisian.