Lateral side branches should be no more than one half to three quarters of the diameter of the stem at the point of attachment.
Avoid producing "lion tail," branches, caused by pruning away too much inner twig and and foliage. Lion tails can result in weak branch structure and breakage. Simply put, lion tails occur when too many inner twigs are removed, leaving a tuft or minimual foliage at the end.
Branches that rub or cross another branch should be removed. Remember should be. Some tree pruning needs should be, but need to remain because it can't be - can't be done. Not every correction is possible. More people discuss how to prune away branches than what can't be removed when pruning. And this separates the hack from the master. Just as important as what to prune away, is what not to prune away or when not to prune.
Conifers that have branches in whorls, pyramidal crowns, rarely need crown thinning except maybe to restore a dominant leader or clean some dead branches out. Occasionally, the leader (it's tip) may be damaged and multiple branches may become codominant by curving upward around the break. Or several new ones will sprout from buds and twigs near the break. Select the strongest leader and remove competing branches to prevent the development of codominant stems. These may need to be pruned away over a period of a few years.
Crown raising is the practice of removing branches from the bottom of a tree to provide clearance for pedestrians, vehicles, buildings, lines of site or to develop a clear stem for timber production. The blue highlighted limbs in the image at left indicate branches to remove for this pruning practice.
For street and curbside, minimum clearance is often specified by ordinance, commonly 8' over the sidewalk and 11' to 14' high over the curb and street. This allows delivery and street maintenance equipment to get by.
After pruning, the ratio of the living crown to total height should be at least two-thirds. If you remove lower limbs, no more than the lower third should be removed. Again, emphasis on should. On young conifers and hardwoods, lower branches may be retained temporarily along the stem to encourage a nice trunk taper and protect trees from various activities and sunburn.
Crown reduction pruning is often used when a tree has grown too large for its space. This method, sometimes called drop crotch pruning, is preferred to topping because it results in a more natural appearance, and increases the time before pruning is needed again: minimizing stress and preventing sunburn. Crown reduction pruning, usually a last resort, often results in large pruning wounds to stems that may lead to decay. This method rarely works well for a pyramidal growth form like many conifers have. But I've seen it work out for some like Austrian pine or Japanese black pine. A better long term solution may be to remove the whole organism and replace it with another species that will not grow beyond the available space.