Mecanim short tutorial
now for mecanim you will have to do a little more work but this will help if you want to use the same animations for all your characters an allow more flexibility...
First you will want to make sure your character is set up for mecanim which is done simply by choosing the rig as humanoid an hitting configure in the inspector as seen below...

now for the mecanim set up on the model it self. first if your model is already set up for mecanim it will already have the following settings humanoid an a check mark next to configure..
if not you will have to chose it an and then configure it. issue here is that unity mecanim requires a t-pose so if your model is not in t-pose the skeleton in the scene window will be red on the parts that are not in t-pose formation so you will have two options do the t pose manually or try to force it into a t-pose but in the end it should look like the pick below..

were i circled mapping just choose auto mapping.
in the left hand side i circled the avatar that should now be in your player prefab. its added by unity so you can use mecanim animations on the model..
now that your player is set up lets set up our animations..
best to use the tut on this site but ill give you a short run down on the essentials...
first add your idle state then after that add all your other animations that you want to use .
id rename them to something simpler int he inspector to make things easy
walk run and death will not be connected to anything
all others will have lines going from any state an then back to your idle.
to clarify on this would go like this
anystate > to animation state > idle
your parameters can be added by hitting the plus sign and choosing trigger from the list that pops up give each one a simple name you will need these later to add them to your list.
as seen below

from your anystate lines click on them an change the name to the trigger you are using

you can figure out what to change by looking at this picture an click the lines going from your animations states to idle
then last but not least heres how your animation list will look for mecanim
first idle walk run will look like this

and then ones with the triggers will look like this

make sure you stick your newly made controller into the characters animator component