Join Date: Feb 2010
Location: Portland, Oregon
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I second Peninsula Crossing/Marine Drive for the flatness, plus the Shift and Bikeportland calendars.
Other good flat-ish rides using separated bike paths would be heading south the Eastbank Esplanade trail on the eastside of the river, which leads into the Springwater Corridor trail. Old rail bed so grades are gradual, with varying degrees of scenic-ness. The mid-section is a bit rough, pavement wise, and they are going to start repaving soon, so there will be detours. And if you don't feel like riding the whole way back, you can hop on the MAX either at Lents TC/Foster Rd (for the Green Line) or in downtown Gresham (for the Blue Line). And the Springwater connects to the I-205 Bike Path, mostly flat (except for that good up and down between Gateway and Parkrose/Maywood Park) but not really scenic.
Oh, and to nitpick: if you're living on or near Mississipi Ave, you are in NORTH Portland, not NE. There's a distinction.