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I'll confirm G street is good.
Founding Farmers in the trendy place and open for breakfast: http://www.wearefoundingfarmers.com/
Breadline has nice omelets and decent space: http://www.breadline.com/
Corner Bakery has a decent sitting area.
The Met Cafe has lots of options and plenty of seating: http://www.metcafedc.com/main.htmlFast food options of Roti (limited menu), Cosi, Potbelly's, Subway, and Brown Bag Cafe all have places to sit.
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Founding Farmers
1924 Pennsylvania Ave. NW, Washington, DC 20006The Brown Bag
1099 14th St NW Frnt 1, Washington, DC 20005 -
G Street Food
http://gstreetfood.com/breakfast.html
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G Street Food
1706 G St NW, Washington, DC 20006