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gandalf3
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An if statement does not cause the code following it to loop, it merely executes the code indented after the if if the statement following the if (in this case 1 > 0) is true.

If I understand what you are trying to do, you instead want a while loop instead of an if statement:

var = 0 # define the variable "var"
while 10 > var: # while 10 is greater than whatever value "var" is equal too
    var = var + 1 # increment var by one
    print (var) # print var to the console

This will execute the code indented after while 10 > var: until var is no longer less than 10.

The result of running the above code is:

1
2
3
4
5
6
7
8
9
10

So if we apply this to your code:

import bpy

var = 0 # assign these variables to 0
mx = 0 # I removed these from the scene for loop because you don't need to set them again for eaach scene.
sx = 0
sy = 0
my = 0
for scene in bpy.data.scenes: # loop through each scene in the .blend and set these values in each one:
    scene.render.use_border = True # enable borders
    scene.render.use_crop_to_border = True # enable crop to border
    
while var < 3: # as long as "var" is equal to a number less than 3, execute:
    var = var + 1 # increase "var" by one (very important if we don't want to run the loop for infinity)
    my = my + .2 
    mx = mx + .2
    scene.render.border_max_x = mx
    scene.render.border_min_x = 0
    scene.render.border_min_y = 0
    scene.render.border_max_y = my
    #                                                          vv var is an INT, so we convert it to a string for the perposes of using it in the output image file name
    bpy.context.scene.render.filepath = "/tmp/test_render_" + str(var) + ".png" # bpy.context.scene gives us the currently open scene, so we can set the path for outputting images for only that scene.
    bpy.ops.render.render(write_still=True) # I added the write_still=True so the render is writted to the file spcified in scene.render.filepath
gandalf3
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