If you're willing to pay approximately $75 USD, you could send to a commercial analytical lab for ICP-MS testing and get an elemental analysis. This fairly complete and includes analysis of Na, Li, Be, Mg, Al, Si, K, Ca, Sc, Ti, V, Cr, Mn, Fe, Co, Ni, Cu, Zn, Ga, Ge, As, Se, Rb, Sr, Y, Zr, Nb, Mo, Ag, Cd, In, Sn, Sb, Te, Cs, Ba, La, Ce, Pr, Nd, Sm, Eu, Gd, Tb, Dy, Ho, Er, Tm, Yb, Lu, Hf, Ta, Pb, Bi, Th, U, Au, Br, I, Os Pd, Ra & Ru. That is 63 elements analyzed in many cased down to the ppb level, and the only major elements missing are F, Cl and the noble gases.
If it is a matter of concern for your health if you are consuming these supplements daily then it's worth the $75 and trying to set up any DIY testing would likely cost far more, and not be anywhere as complete and reliable in the results.