Homo Habilis... A growing consensus amongst most paleoanthropologists is that Homo Habilis actually includes bits and pieces of various other types - such as Australopithecus and Homo erectus. It is therefore an 'invalid taxon'. That is, it never existed as such.
Not quite. Homo habilis was originally thought to be the ancestor to all later Homo. In a neat, linear progression, later species emerged resulting in what we call modern humans. Because of later finds, this is no longer accepted to be the case. Currently, all available evidence points to Homo habilis and Homo rudolfensis existing at the same time, but dying out prior to the rise of Homo ergaster. Homo ergaster is not necessarily thought to have arisen from either of these two older species of Homo. (interesting sidenote: Fossils of male and females of adult age show that the females were considerably smaller than the males, whereas modern humans have a female size that is only slightly smaller than males).
Homo Erectus... the brain size is within the range of people today and studies of the middle ear have shown that Homo erectus was just like us. Remains have been found in the same strata and in close proximity to ordinary Homo sapiens, suggesting that they lived together.
The average brain size of Homo erectus, while on the smaller side of Homo sapien, is not on average the same as brains today. On average, the Homo erectus brains are significantly smaller. The species Homo erectus is thought to have diverged from Homo ergaster populations roughly 1.6 million years ago. We know from the fossil record that Home erectus did not die out until 50,000 years ago, when its population in Asia dwindled. It would have been alive at the same time as later Homo sapien and Homo neanderthalensis.
Neanderthal Man... His brain capacity is 1,600 cc some 200 cc larger than mans. Evolutionists are still trying to reconstruct him to move him out of the Homo sapiens classification.
There is no dispute regarding brain size. Homo neanderthalensis buried their dead and even created artwork. Quite probably, they had linguistic skills, though there's no evidence of any developed written language. What differentiates Homo neanderthalensis is not the brain, but the body. Neanderthals and modern humans (Homo sapiens) are very similar anatomically (so similar that in 1964, it was proposed that Neanderthals are not even a separate species from modern humans, but that the two forms represent two subspecies: Homo sapiens neanderthalensis and Homo sapiens sapiens. This classification was popular through the 1970's and early 80's, but further study has shown that the body differences were significant enough to warrant separate classification). The body of the Neanderthals were able to withstand very specific climates, but were not able to withstand climate change. In addition, the Homo Sapien bodies were taller, thinner, and more agile than Neanderthal bodies. Neanderthals and Homo Sapiens occupied the same time, and often the same space. It's quite possible that Homo Sapien may simply have out competed Neanderthals, but it's more likely that climate change let to the dwindle of Neanderthals and the rise of Homo Sapiens. Fossil evidence in Europe shows climate change that coincides with the gradual decline in Neanderthals and the gradual increase in Cro Magnon (Homo sapien) populations.
In all, the fossil record for Neanderthals is significantly better than for earlier human species. One reason for this is that Neanderthal fossils are relatively young compared to other early human species, and fossils decay over time. But another very important factor is the purposeful burial of their dead. Many Neanderthal sites include the remains of individuals who were deliberately placed in graves dug into the earth. Some of these burials show evidence that may indicate that these graves were adorned with offerings (such as flowers). This cultural advance, which represents an awareness and recognition of life and death, may have first been practiced by the Neanderthals.