Besides the water bowl test I found these other tests from this site:
The cracked egg and plate test
Crack the egg in a flat plate or flat surface and check for the below signs:
The yolk of a very fresh egg will have a round and compact appearance
and it will sit positioned quite high up in the middle of the egg. The
white that surrounds it (albumen) will be thick and stays close to the
A cloudy colouring to the egg white is a sign of extra freshness, as
this "cloudiness" is in fact carbon dioxide, which is present when the
egg is laid. Over time, the egg white will become more transparent, as
the carbon dioxide dissipates.
A less fresh egg will contain a flatter yolk that may break easily and
a thinner white that spreads quite far over the plate.
In the last instance, a bad egg will have a very flat yolk and the egg
white, or albumen, will be runny like water almost. If your egg is
like this, it needs to be discarded and should not be consumed.
This characteristics can be noted if you don't rely on the smell.
The sound test
This method is not as widely used as the previous two, but it can work
just as well, although you will have to rely on your hearing rather
than your sight.
First, ensure there are no background noises which may affect this
test, for example, if you have the washing machine or a dishwasher
running in the kitchen then go to a different room.
Pick up the egg that you want to test and place it close to your ear.
Gently shake the egg from side to side. If you cannot hear any sound
whatsoever, the egg is perfectly fine to eat and there is nothing
wrong with it.
If, on the other hand, you hear a sloshing sound, do not consume the
egg as it is bad.
If you are unsure after carrying out this test, you could try one of
the first two tests just to make sure.
You can do the sound test first and try to guess if it's good or bad, then use the water and bowl test and then crack it on a plate.
This way you will train your ear to identify a bad egg by sound after checking the result of the other two tests.