It is recommended that vegans get sufficient vitamin B12, either through supplements or from fortified foods. Lack of B12 can cause nerve damage.
Also, omega 3 fatty acids. While non-vegetarians might get this from fish, vegans and vegetarian have been reliant on plant-based foods such as flaxseeds and walnuts. But your body then needs to convert the ALA in these foods to DHA and EPA, but conversion may not be that efficient. So it is preferable to get DHA and EPA from vegan supplements. There's a fuller explanation why in this article www.vegetology.com/blog/article/understanding-omega-3-why-epa-dha-are-superior-to-ala
We can get Vitamin D from sunshine, but often we don't get enough (particularly in the winter months) so supplementation is recommended. Vitamin D2 is added to some cereals and vegan spreads, but Vitamin D3 is more effective at improving Vitamin D status. Unfortunately most commercial Vitamin D3 (as found in breakfast cereals for example) comes from lanolin in sheep's wool, so isn't vegan. However one can now get vegan vitamin D3 made from lichen.
The Vegan Society produce a specially formulated multivitamin for vegans called Veg1 - see below.
Veg 1 - Vegan Society formulated vitamin supplement with B12, D3 Vegetology.com/ Opti3: Vegan vitamin D3 + DHA/EPA Nuique - Vegan Omega 3 Supplements and Natural Vegan Healthcare Products Nothing Fishy - Vegan Omega3 from algae Omvits.com - Vegan Omega 3 from algae. They also sell vegan vitamin D3 and B12 Vegan-vitality- vegan omega 3 from algae as well as multivitamins and more. Futurekind.com Vegan mutivitamins