Finally got round to trying my Teutonic Knights at 400AP, against Johan's Later Hungarians. Terrain turned out to be irrelevant (mostly bang up against the table edges); weather did have an effect in that fog for the first few bounds slowing movement down and preventing my crossbowmen from shooting.
The Hungarians, deploying first, had horde of mercenary men-at-arms (Kn (S/I) DBE's in wedge) in the centre, with light horse ((S) and (O)) on their flanks (each half of the DBE horde plus its LH wing constituting a command), with three elements of royal banderium (Kn (S) SBE's) and half a dozen light horse (F) in reserve. At the rear of it all, their camp was well fortified with mantlet wagons (TF), handgunners, and light artillery pieces.
The whole German battleline was offset a bit towards their left from the Hungarians'. They had vassal and crusader knights on the right, facing the mercenaries, then a foot centre (crossbows with a reserve of spearmen) facing one of the Hungarian light horse wings, and on the left the ordern brethren with a reserve of mounted crossbows facing more Hungarian light horse, and beyond them the turkopoles (LH (O)) facing empty space. The right wing was held back a bit to increase the distance to the scary wedge formations of the mercenaries, and to delay the light horse enveloping them.
Slowed somewhat with the fog the Hungarians surged across the board, faster towards the German right than elsewhere, and the same fog spared them some shooting from the crossbowmen. First contact was on the Germans' right, where the crusaders and adventurers got the drop on the mercenaries. Their charge was a failure, however, losing two elements while destroying none of the enemy's, and the mercenaries began to slowly but inexorably grinding that wing down, helped by light horse streaming around the Germans' flank.
Things went better for the Germans on their left, where the brethren, after a slow start, scattered the light horsemen before them, and reformed to face the royal banderium that seemed intent on a counterattack.
In the centre, meanwhile, more Hungarian light horse, helped by the rightmost mercenary wedge, traded casualties with the German crossbowmen. They also killed a mounted crossbow from the German left wing command. Losses here were about equal, but the German command, being larger, was better able to bear it.
On the Germans' far right, the turkopoles had surged forward in column and then reformed into line facing the Hungarians' flank. The horse archers of the Hungarian reserve lined up to meet them - the contest was swift and unequal, as the Germans, with the help of some of the order brethren rushing up, scattered the Hungarians to the seven winds while sustaining no element losses themselves.
This just sufficed to break the Hungarian reserve (before the banderium got into combat); in the same bound the trickle of light horse losses put the right-hand Hungarian command above its break point. Two broken commands broke the army, and the Teutonic Order could count one rather costly win, their right wing having shattered a couple bounds before and the centre being disheartened. (Score: 16-9)