Ok, I'll have to make a list from the raws but here goes (this list is also incomplete as I have only done the ornamental stones).
Generally speaking rocks that have a high SiO2 content have the potential to be cryptocrystalline or microcrystalline with a conchoidal fracture pattern which will allow them to be knapped into stone blades.
Always [SHARP] (these are cryptocrystalline rocks with a conchoidal fracture pattern)
Obsidian (70 to 75% SiO2), Flint (a type of Chert found in chalk), Chert (typically found in limestone, SiO2, including gemstone varieties of chert), Glass (SiO2), other non-crystalline quartz gemstones (SiO2).
Sometimes [SHARP] (these are microcrystalline rocks with a conchoidal fracture pattern, occassionally they have a small enough crystal size that they can be knapped, I just made a sub type called "fine (name)" and had it spawn in small clusters of the main type, ie fine basalt spawns inside basalt)
Basalt (45 to 55% SiO2), Felsite (can be SiO2), Quartzite (up to 99% SiO2), and Rhyolite (69+% SiO2).
Not [SHARP] but still used as ground stone tools (they don't get the [SHARP] token but could make reactions to make some stone tools, Greenstone Axes and Picks, Granite Anvils).
Greenstone* and Granite
List of Ornamental gems that are [SHARP]
Types of Chert (SiO2)
- all types of Agate aventurine, bloodstone, carnelian, all chalcedony, chrysoprase, all jasper, onyx, prase, sard, sardonyx,
Non-Chert
- all types of Opal (SiO2 but formed differently than Chert and occurs in different stones) and turquoise (CuAl6(PO4)4(OH)8·4H2O).
Yes there are many ornamental gemstones that are Quartz (SiO2) which I have not listed as [SHARP] because they are have a regular or whole crystalline structure and a non-conchoidal fracture pattern (basically they don't break right).
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* Greenstone is not so much a type of stone but a description of the color, meaning that other non-greenstones could have been used but for some reason the stones colored green were the only ones used (probably because they were easily identified due to their color). Greenstone artifacts were made of greenschist, chlorastrolite, serpentine, omphacite, olivine, and chloromelanite. Jade was also used, but it is historically not referred to as Greenstone but as Jade. While these saw use as axes they were not as sharp as the axes made of flint, they were however much more durable and lasted far longer (so they can make tools but they are not [SHARP]). Most typically made were Axes, Chisels and polishing tools, though others were made. See the Langdale axe industry.