I'm a vegetarian, but yeah, chicken broth is meat! I use vegetable broth boullion cubes, substitute vegetable broth for meat-based broth in recipes and if I really need 'chicken broth' (like for homemade 'chicken noodle soup'), I use the Organic No-Chicken Broth made by Imagine...its readily available at a lot of chain grocery stores. Its in a box, not a can.
For the ramen-lovers...the Top Ramen Oriental is vegetarian (used to contain beef extract, though, so I check the labels to make sure I have the newer version). Also the Nissin Cup Noodles Vegetarian Vegetable is okay, but more difficult to find. I have also found several other options at higher-end/specialty grocery stores. I have found several options at Chinese supermarkets, too.
Of course, ramen noodles are really high in sodium and fat, nearly always contain partially-hydrogenated oils and are high in MSG...so even the vegetarian ones are pretty unhealthy. But I like them for a treat from time-to-time!