Yes almost all of them do
No, fish do not menstruate; menstruation and the related estrus is particular to mammals. Roughly equivalent to menstruation in fish is the breeding seasons that fish go through at particular times of the year.
All female mammals go through some form of what is called "estrus", which is the period when an egg is released, in hopes that it will meet a nice gentlemanly sperm cell and produce some offspring. However, not all mammals do this once a month. For some, it may only happen once or twice a year.
All mammals go through a starting stage as a single cell. They all go through cell division, birth, and growth. Not all mammals have periods (e.g. cats do not have bleeding periods.) All mammals die.
No, menopause is a primate-only event in which menstrual cycles become erratic and then cease. As dogs do not have menstrual cycles, they do not go through menopause. Dogs have estrus cycles, and under certain conditions can go through a period of anestrus when they stop having estrus cycles. Late in life, a female dog may permanently go into anestrus, but this is not all that common.
If the mare is infertile because of age, yes they will continue to go into estrus. The hormones still work, but no more eggs are being released. If the mare has been spayed (which is very rare) and the ovaries are removed, the mare will no longer go into estrus.
Mice are in estrus for a period of about 10 to 12 hours, and they will go into estrus every 3 or 4 days.
Anestrus or Diestrus. Proestrus is when the female is about to go into estrus, and Metestrus is the period before Diestrus and after Estrus which the female goes out of heat and ovulation ends.
Rabbits do not have a typical estrus cycle as other mammals. Rabbits are stimulated to ovulate by the mating act, and as such, can be ready to mate and conceive again as soon as they drop each litter -- approximately every 30 days.
No. Menopause is the period when women stop menstruating, and since cats do not menstruate in the first place, they cannot go through menopause. Only primates, such as humans and chimps, menstruate. (Cats will bleed a little while in heat, but this is part of the estrous cycle, which is not the same. Estrus in cats is closer to the period right after menstruation in humans.) They don't even go through menopause in the sense of ceasing to experience estrus; cats remain fertile throughout life.
No, bunnies do not go through metamorphosis.
Mammals actually have less changes in their life cycle than insects or amphibians. Humans go through about three stages of significance in their life time.
Oestrus synchronisation (UK) or estrus synchronization (US), is when female mammals go into "heat" at about same time. This is induced in cattle to be able to perform artificial insemination or embryo transfer at about the same time for the whole herd.