Fundus images play a fundamental role in the early screening of eye diseases. On the other hand, as deep learning provides an accurate classification of medical images, it is natural to apply such techniques for fundus images. There are many developments in deep learning for such image data but are often burdened with the same common mistakes. Training data are biased, not diverse and hidden to the public. Algorithms classify diseases, which suitability for screening could be questioned. Therefore, in our research, we consolidate most of the available public data of fundus images (pathological and non-pathological) taking into consideration only image data relevant to the most distressing retinal diseases. Next, we apply some well-known state-of-the-art deep learning models for the classification of the consolidated image data addressing class imbalance problem occurring in the dataset and clinical usage. In a conclusion, we present our classification results for diabetic retinopathy, glaucoma, and age- related macular degeneration disease, which are urgent problem of ageing populations in developed countries.