An eggless cake is possible and it can be just as full of flavor and just as light and fluffy as a cake made with eggs. To achieve the light and fluffy texture just requires the right combination of leaveners (baking powder and baking soda) and vinegar. This combination causes a foaming action that lightens and softens the mixture.
There are many eggless cake recipes that can be found on the internet. Just enter the question asked here into a search engine and you will be busy all day looking at recipes you can’t wait to try.