(I couldn't find a similar suggestion, delete the topic if this has already been discussed.)
Two things that I find quite annoying when playing as infantry are the hit-indicator and kill messages.
With those on, no need to check if someone escaped the tank you destroyed with your Faust/PIAT/whatever, no need to check if your grenade killed that squad in the building, no need to check if your MG fire did hit that guy hiding under some static:
The game tells you wheter you killed someone or not.
It even tells you what enemy tanks are fighting, just look at the vehicles used in the kills shown at the top of the screen. Even if that StuG ambushed you without revealing its position, you know it's here.
No need to wonder whether it was a hidden Faust or a static gun, you'll know what killed you no matter what.
The hit indicator is the worse: it pretty much acts as a small radar; just throw grenades around a flag, if the hit-indicator appears on the screen, you KNOW some enemy is here, despite them hiding rather well.
I'm not asking about removing the hit indicator for tanks: we need it to know if a shot penetrated, something that could be confirmed by the tank sommander IRL but can't be done in the game (due to some limitations).
Of course, removing the killcount (that was suggested before right?) would work well with these changes, though it is not necessary (at least you'd have to check it to see if you killed someone, and it wouldn't affect the hit-indicator change which is, IMO, very much needed).
So, here's my suggestion:
Removing the hit-indicator (infantry only if possible for this) and kill messages (both the "you killed xxx" ones, and the ones on the top-right corner showing everyone's kills and the weapon/vehicle used), to make the game more immersive and make a number of realistic tactics valid in the game.
EDIT: For those too lazy to read the whole thread, I gave up on removing the kill messages completely, but not removing at least those on the top-left corner of the screen.