Vandoren mouthpieces. They're good, consistent, and are relatively inexpensive compared to Selmer and other hard rubber mouthpieces (I still play an AL3 but my personal clarinet and jazz mouthpieces are over $300 each).
Clarinet: Vandoren 5RV Lyre. I recently had my music store let me try out some other Vandoren mouthpiece like the M13 and M30 but I still came back to the 5RV Lyre.
Saxophone: Vandoren AL3, TL3, BL3.
Jazz: Vandoren V16 Series
Rovner Dark ligatures. They have a bad reputation for "killing the sound" but I don't get it. I personally play a Mk. III Rovner on all my instruments. The reasons I like the Rovner Dark for students are because it doesn't slip when you're adjusting the mouthpiece, it only has 1 screw, and if it gets dropped and stepped on it's not going to get bent out of shape like a metal ligature.
Vandoren or D'Addario (Reserve; Select Jazz) reeds. I've had success with both. It's a matter of preference. If you're up for it, buy some boxes in the different brands and cuts and let the kids try them. I had a clarinet who could never play in tune on a traditional Vandoren but immediately improved when I gave her a 56 Rue Lepic.