As a Nichiren Buddhist we have critiques of Pure Land Buddhism and Esoteric Buddhism, or at least we have Nichiren's critiques of those forms of those types of Buddhism found in 13Th century Japan. But to try to write a summary here would be impossible and very misleading as the critiques were highly contextualized and might not apply to modern Pure Land or to Chinese Pure Land Buddhism or to Tibetan Vajryana and all its varieties.
I would recommend that before anyone presumes to criticize a particular school of Buddhism that they learn about that school in depth. Learn its history, its origins, its principles. Read about the lives of its main proponents, practitioners, and lineage holders. Maybe visit a group that practices those teachings (you need not participate yourself but at least be a good guest). Talk with its practitioners face to face in a friendly way. Try to really get to the bottom of what it is all about. And then if something bothers you or doesn't seem quite right or doesn't match the Buddha Dharma as you understand it then go write up a critique. But then why would you be doing that? To show that you are right and they are wrong? To win converts? Is this an exercise in egoism or sectarianism or is it a genuine expression of compassion on your part?
I am writing such critiques myself now, but I am doing it as part of a project to write commentaries on Nichiren's major writings so that I and others can better understand his critiques in the context of his time and place and to see if there are any principles involved in those critiques that should inform our own practice and teaching of the Lotus Sutra today.
You can read what I have so far here:
That page contains many other articles. The latter articles contain explanations of Pure Land and Zen. Within a few days I will add articles on True Word (Shingon) Buddhism which is the Vajrayana school of East Asia.
Namu Myoho Renge Kyo,