The main difference is about the tone; the K688 is more on the high-and-mid, while Tank3 is the most neutral-sounding one among the three, while the AM8 sounds most like traditional dynamic microphones with a lot more bass.
Or let's put them into real life, if you're concerned about the background but don't want your voice to sound quite bassy, the K688 could be a better fit out of the three. The AM8 has the advantage of noise-rejection over the rest two if the environment is super noisy, like in your gaming room. At last, the Tank3 fits a wider range of users; you don't have to worry about your voice getting muddier or more harsh.
Besides the coloration, the appearance and the build quality might also be the deciding factors in this price range. If you want to stand out and add some flavor in the frame, the AM8 with a square shape and RGB lighting is the clear winner. If it's about the opposite style, then the Tank3 is the best fit for its super solid metal body, which is even 1/3 heavier than the K688, but in a more compact body.