Matthew Amt’s Greek Hoplite Page (offline as of October 2021 but archived on the Wayback Machine) is pretty well known among people interested in ancient warfare. It might not be as well known that he has been updating it, expanding the bibliography to include some of the new publications on Greek clothing, arms, and armour and addressing the great shoulder-flap-cuirass controversy. As I revise this post, his old glued linen armour is sitting in a bath, being cleansed of its sticky contamination so that the linen can be salvaged and remade into a quilted armour. He has also added a typology of Classical Greek swords based on several archaeological publications after deciding that his old swords and sources did not match the originals, and is working with Deepeka in India to help them make replicas which are closer to the originals (a Labour of Herakles in itself!)
One thing that I admire about his approach is its humanity. One of the problems with reconstructing historical artefacts is that any one depends on a whole system of crafts and industries which are usually missing today. It is very difficult to obtain wide sheets of copper-tin bronze, so would-be bronzesmiths are reduced to salvaging decorative panels on doors and cracked cymbals. Ancient woollens were often woven to shape so that they did not need to be cut, and could have had a density and thinness which we associate with cottons; having something appropriate specially woven and dyed is a long and expensive process. There is not much demand for split or coppiced ash poles today, so modern spear-shafts have to be cut out of sawn logs, with the result that they are probably more fragile and worse balanced than the originals. Rather than give up, or exhaust oneself in the search for the perfect, Matthew suggests choosing “good enough” and making continual small improvements as your skill or knowledge increases. I think that his site (archived on The Wayback Machine) succeeds in its goal of giving readers the information to make a “good enough” kit, and enough pointers to sources that they can start digging deeper if they want to.
Edit 2021-10-20: Added links to the Wayback Machine