Plot list with structure of each item {x, {y, z}}

This is a good place to apply patterns to re-arrange the elements of the data.

list = {{0.1, {0.013070604, 1.00015}}, {0.6, {0.078698955,1.0054247}}, 
        {1.1, {0.14552025, 1.0184426}}, {1.6, {0.21458577,1.0398293}},
        {2.1, {0.28706229, 1.0712175}}, {2.6, {0.3643249,1.1155575}}};

ListPlot[{list /. {{x_, {y_, z_}} -> {x, z}}, list /. {{x_, {y_, z_}} -> {z, y}}}]

How about this

data = Flatten /@ {{0.1, {0.013070604, 1.00015}}, {0.6, {0.078698955, 1.0054247}}, 
                   {1.1, {0.14552025, 1.0184426}}, {1.6, {0.21458577, 1.0398293}}, 
                   {2.1, {0.28706229, 1.0712175}}, {2.6, {0.3643249,  1.1155575}}};

ListPlot[{data[[All, {3, 1}]], data[[All, 2 ;;]]}]

Here is another way:

a = {
  {0.1, {0.013070604, 1.00015}}, {0.6, {0.078698955, 
    1.0054247}}, {1.1, {0.14552025, 1.0184426}}, {1.6, {0.21458577, 
    1.0398293}}, {2.1, {0.28706229, 1.0712175}}, {2.6, {0.3643249, 
    1.1155575}}
  }; 
{x, {y, z}} = MapAt[Transpose, Transpose[a], {2}];
ListPlot[{Transpose[{x, z}], Transpose[{z, y}]}]