In large scale 'mining' Night Elves use wisps, which absorb stone and metal from the ground without harming it. However, on a smaller, less damaging scale there likely wouldn't be any objections to mining exposed mineral nodes. Night Elves have access to a specially blessed metal called Elunite.
Much like the First Nations, it would likely be seen as a good act to make use of everything a slain animal has to offer.
Night Elves have a number of botanists. Because of their study plants, it is likely Night Elves have a wide understanding of plants, flowers, and roots.
Wardens, at the very least, have access to poisons, which would require alchemy. Furthermore, their use of botanists and study of plants lends itself to the practice of alchemy.
Most races have a written language and would have need of scribes. Night Elves seem to use glyphs for magical reasons, such as the elven waygate in Darnassus.
Because hunting is a tradition in Night Elf culture, skinning and leatherworking would go hand in hand. Druids often use animal parts in their clothing, such as druids of the claw wearing bear pelts.
Many consider Dwarves to be master smiths (which they are) but they are not the only race with a proficiency in smithing. Night Elves are able to make vorpal-edged glaives and are credited with the creation of both Quel'Serrar and Quel'Delar.
Night Elves females, particularly priestesses and sentinels, wear jewelry. The kinds of jewelry made can range from nose studs, moon crested earrings, and circlets to pearl necklaces, hairpins, and ornate rings.
Night Elves didn't even have trainers for the profession until Cataclysm. And even now, they're entirely Worgen. However, this does not mean Night Elves don't have engineers, just that it doesn't match the overarching profession. Engineering takes several different elements and mashes them together. This includes gunsmithing, bow making, lens crafting, tinkering, explosives, and robotics.
Night Elf 'engineers' would have taken from a few, but not all of those elements. We know Night Elves use bows, so bowyers would be present. We know Night Elves employ fireworks and gunpowder, yet don't seem to use them for military use. Glass or lens crafting seem to be possible, as some Night Elf buildings have stained-glass (such as the temple). Glaive throwers may need some adjustments and the weapons they make may require special calculations to create.
We also know Night Elves are capable of using low-tech, hand-wound clockwork, as seen by their use of music boxes.
However, the use of tinkering, robotics, and complex technology would not have been an option for the Night Elves until after joining the Alliance. Even now, Gnomish technology is described as “obnoxious”.
Night Elves can be skilled tailors. Their moonwells are required to create their signature material, mooncloth. Primal mooncloth also requires a moonwell, yet it is unknown if this fabric was made by the Night Elves or just inspired by the original.
We know Night Elves have skill in weaving silk.
Unfortunately, we do not know what kind of magic is employed to enchant objects. It seems like the simple process of withdrawing the essence of an object and then using it to imbue another. We know Night Elves use enchantments, such as on their weapons.
It is likely enchanting is not viewed as an arcane based skill due to the presence of Night Elven enchanter trainers, even back when there were no engineer trainers in Darnassus.
Because of the age of many Night Elves, archaeology would be less about digging up their forgotten past and more about recovering artifacts. Many Night Elven ruins contain artifacts from before the War of the Ancients, some powerful and magical.
Highborne, specifically the ones from Dire Maul, are known to hoard and seek knowledge, as evident by their massive libraries and lore-keepers.