Well some examples would be like while Sasuke is fighting Itachi, when he uses his fire techniques to cause a storm to come allowing him to use Karin.
Also, when fighting someone with wood release, if they use Wood to defend themselves with a wood wall, you can use Fire to set it on fire so they must let their guard up and either move from their wood or use Jutsu to put it out leaving them open for another attack.
Also when fighting alongside someone, a good combination to use would to combine one of your own fire techniques with your partners wind techniques to grow the fire and make it more powerful.