Here are 10 good sources of fibre: 1  Beans. 2  Wholegrain and wholemeal. 3  Brown or wholegrain rice. 4  Keep your finger on the pulses. 5  Nuts. 6  Jacket potato-the skin is the important bit. 7  Dried fruit. 8  Bran based cereal and other healthy cereal options. 9  Porridge. 10  Fruit and veg. All beans are good, whether baked beans, beans like kidney beans in chilli or beans in salads. 2  Half a tin of baked beans (200g) is 7g of fibre. 3  Wholegrain and wholemeal. 4  Skip white bread and pasta, look out for wholegrain and wholemeal on the labels. 5  Brown or wholegrain rice.