I\'ve got a list of points (x,y,z) and would like to visualize them as a curve on a plane with points on (x,y) and any of color/intensity/thickness as z. How can this be don
Assuming you don't care about the color of the actual line, but the markers. Use plot in combination with scatter.
Imagine following example data:
t = 0:pi/20:2*pi;
x = sin(t);
y = cos(t);
z = t;
plot3(x,y,z);

Plotted in the 2D-plane:
plot(x,y); hold on
scatter(x,y,300,z); hold off
results in:

From your comment: if you have enough data and you don't need the line, just use scatter, it's exactly what you need.
Another possibility inspired by a solution on MATLAB Central, considering both line and markers.
surface([x;x],[y;y],zeros(2,length(t)),[z;z],'EdgeColor','flat',...
'Marker','o','MarkerSize',10,'MarkerFaceColor','flat');

Make the color dependent on z is quite easy, for changing marker sizes you definitely need the scatter function:
surface([x;x],[y;y],zeros(2,length(t)),[z;z],'EdgeColor','flat'); hold on
MarkerSize = round(z*1000)+1;
scatter(x,y,MarkerSize,z,'.','MarkerFaceColor','auto'); hold off

For on z depending, increasing transparency it's a little tricky. You can find a workaround here, using the patch function.
The solution can be like that
x = 0:.05:2*pi;
y = cos(x);
planez = zeros(size(x));
z = x; % This is the color, vary with x in this case, but you can use your vector
surface([x;x],[y;y],[planez;planez],[z;z],...
'facecol','no',...
'edgecol','interp',...
'linew',2);
The point is that you are painting a surface, where the colors can easily modified. I dont think it can be done with plot
