I think this question might be slightly too broad to be answered on this Q&A site. That being said, if you eat only the food that you have mentioned for some reason, it would definitely make sense to add to that list.
You mention a vegetarian diet but I don't see any dairy or egg products in that list so I guess you'd probably want to include some source of B12 there (nutritional yeast is often fortified with B12 but make sure to check and if it is your only source of B12, also make sure you eat it quite often). B12 is mostly gotten from animal products so if you want to follow vegetarian diet that would be your cheese and milk and eggs, but many vegan products such as soy milk and soy yoghurt or non-vegan products, such as breakfast cereals, are usually fortified with B12. Check the label for the information on how well the daily dose is covered by that specific product.
Another vitamin that you' like to make sure is more included in the diet you listed would be vitamin D. It can be synthesised by your body from sunlight so if you live somewhere very sunny this might not be such a concern but in general, the vegan foods that are fortified with B12 are fortified with vitamin D as well. If you'll go with vegetarian foods, eggs have quite high levels of vitamin D. A definite must-include are some types of mushrooms such as portobello, shiitake or maitake which are quite high in vitamin D as well.
As for a more exhaustive list of things to watch out for when transitioning diets, this site already has answer for this so feel free to have a look. It applies to vegans so if you aim to be a vegetarian, some things might not apply, but still, knowing more never hurt anybody.