expr = 2 x + x^2 MyFun1[1, x] + x^3 MyFunction[2MyFun2[2, x];
p = Position[expr, x_ /; StringMatchQ[ToString[x], "My*"], {}, Heads -> False]
{{2, 2}, {3, 2}}
Extract[expr, p]
{MyFun1[1, x], MyFun2[2, x]}
q = Position[expr, x_ /; StringMatchQ[ToString[x], "My*"], {-1}]
{{2, 2, 0}, {3, 2, 0}}
Extract[expr, q]
{MyFun1, MyFun2}