These days, with so many products on the market aimed at people following a "vegan" diet, it's very easy to find practically anything in a "fasting version."
Of course, while these things fall within the guidelines for fasting, I suspect some of them probably to varying degrees go against the "spirit" of the fasting rules (for example, I've had non-dairy/soy based ice creams which are better than some of the "real" dairy ice creams I've tried). Of course, something does have to be said about a dimension of fasting that is often ignored - it is not simply the pleasant taste of meats, dairy, etc. which are being moderated by the fasts, but also the substances themselves - these foods tend to contribute to disturbances in the flesh (passions), which is part of the reason why monastics will have more severe rules for fasting all through the year (for example, monks never eat flesh meat.)
Of course, rules differ depending where you are - also, there are cases where one's Priest will make concessions if the situation warrants it.
I find the advise offered by the GOA priest "interesting" - since generally it is during the period of one's catechumate that you are supposed to start participating and learning about the life of the Church as much as you can; this would include the prayers/liturgy where appropriate, and I'd think fasting as well. I know this has been my own experience.