For example, a convolution neural network (CNN), provided it doesn't contain recurrent connections, is an FFNN that performs the convolution operation (and often also a sub-sampling operation). For this reason, they are particularly suited to deal with images (and videos). (This shouldn't be surprising if you are familiar with the basics of image processing and computer vision, which I don't think it's the case)
(You may hear people say that the CNN doesn't perform the convolution operation, but the cross-correlation, but this distinction is irrelevant in the case of CNNs, because the kernels are learned. Moreover, the convolution and cross-correlation are equivalent when the kernels are symmetric, e.g. when you use a Gaussian kernel).