Arthur Frommer's Budget Travel Magazine
Published six times a year--a trial issue is free here for the clicking.

Journeywoman
"The premier travel source for women." Sorry ladies, but I couldn't resist reading "Her Six European Hotels under $50."

National Geographic
Okay, it's not budget-oriented. But it will show you some great places to go! Very useful for destination planning.

Outside
As the name implies, this is for the active, outdoor-types.

Via Nova
Lots of destination information, but also a solid offering of budget travel tips.

Wanderlust
From salon.com.This is where you can find a well-written essay on Italy's gorgeous Cinque Terre coastline, or intimidating Hungarian waiters.