AOG
Iran was the first country to send troops into the region. They have a ground force there supported by air strikes and drones.
Late last year, Australia got involved, sending their air force on strikes in the region.
Canada, Holland, France and Jordan have also led strikes (more about Jornand at the end of this post. With France it was air strikes, deployment of fighter planes to Jordan, and a support aircraft carrier in the Persian Gulf.
Egypt began conducting airstrikes on ISIL targets in Libya on in February.
Libya also struck targets in Derna, reportedly in coordination with Egypt's airstrikes in February.
Bahrain, Jordan, Qatar, Saudi Arabia, and the United Arab Emirates began airstrikes against ISIL targets in Syria last year. I don't know the current status of the operations they're undertaking.
Finally, King Abdullah II temporarily lead the bombing raids on ISIL earlier this year, after a Jordanian pilot was murdered by ISIL. He claimed that their airstrikes had killed 7,000 militants in Iraq and Syria, and also reportedly "degraded 20% of the militant group's capability".
Pinch of salt time.