Here is the full list of all 33 LYNE achievements. It takes around 20-25 hours to unlock all of the achievements on Windows.
Complete ten Daily Sets.
Complete all level sets.
Complete Set Z.
Complete Set Y.
Complete Set X.
Complete Set W.
Complete Set V
Complete Set U.
Complete Set T.
Complete Set S.
Complete Set R.
Complete Set Q.
Complete Set P.
Complete Set O.
...
Complete Set N.
Complete five Daily Sets.
Complete Set M.
Complete Set L.
Complete three Daily Sets.
Change the palette.
Complete Set K.
Complete Set J.
Complete Set I.
Complete one Daily Set.
Complete Set H.
Complete Set G.
Complete Set F.
Complete Set E.
Complete Set D.
Complete Set C.
Complete Set B.
Complete Set A.