Depending on your area, are there any nice parks to go wander round? Take some corn to feed the birds (not bread for ducks as its not good for them), walk along a river somewhere. Take a thermos with some soup and a couple of crusty rolls for lunch, wrap up and make the most of it.
Also go check out some local rugby or football matches? You know the ones, small clubs, local town ones who either don't charge to go watch a game or if they do its only a small fee. Again take a thermos for hot coffee or something and have an afternoon out there. Most clubs have a stand of some sort to avoid the worst of the weather.
Also any art fairs and so on in the area, usually free entry, so you can wander round and peek.
Have a look in the local paper for whats on this weekend also. Usually loads of things happening if you read the ads. Some might require a small fee on entry, but usually nothing to break the bank.