Tubing
For tubing see ASTM A 1016, 213, 268, 269, 519, 632, 789; ASTM B 163, 165, 423, 521, 704 or F 1387;
Fewer ASME standards apply. Exmaples include ASME Sec II SA-213 and ASME SB-423.
Really high pressure low density polyethylene flows in really thick tubing.
Pipe
For pipe see ASTM A 105, 106, 182, 312, 333, 53; ASTM F 1155, 1387, etc. More ASME standards exist such as B31.1, B31.2, B31.3, B31.4, B31.8, B36.10M, B36.19M, etc. The last two are significant.