Common beginner tips
Not that I am the most talented, nor most experienced, but I thought listing a few items now that I have achieved a decent skill set of things that beginners should look to correct and improve their games. If others have some additional suggestions, please add to the thread. Some may have alternative opinions, so feel free to share if you have a different one:
1) bend your knees when you skate, and stay in the hockey stance even if you are relatively stationary. If you think you are - you probably aren't, and this can be confirmed if you can get a friend to videotape you for a few minutes on the ice during a game/scrimmage.
2) keep your shin pads outside of your skate tongue - doing so will allow you to bend your knees more, and allow the skate tongue to do its job and support your weight as you bend lower.
3) keep both hands on the stick, unless you are skating at full speed up ice, and just for a few seconds. There are few things easier to do on the ice than to stick lift a noob reaching for the puck with one hand and taking a loose puck away from them. Two hands gives you better control, and means that you are trying to make a play; one hand means you are just happy to get to the puck.
4) keep your eyes on the puck as little as humanly possible, even if you are about to catch a pass, or chasing after it. Ideally you are looking at the action / movement of players around you to see what to do once you do get control of the puck. Getting comfortable handling the puck purely by feel and not looking down is admittedly an immense challenge for those of us starting the game later in life, but will make you so much more engaged in overall play due to your increased awareness of your surroundings.
5) Tie your skates in the "over the-top" style, not the under-the-eyelet method used for your sneakers. This will keep the laces tighter, and if you can, use waxed laces, preferably Grafs as they have just the right amount of was without being "gummy" (no relationship with Graf, use another firm's if you prefer).
6) When tying your skates, tie to the top, and before tying the knot, flex your ankle as far forward as you can (wearing your shin pads outside the tongue is helpful here), and THEN tie the knot. Your skates are there to act as an intermediary between you and your blades, not a gatekeeper. You should be skating with your skates moderately loose, and relying upon your edges to carry your weight - not the boot. Also, by flexing all the way forward before tying, you can usually avoid lace bite - I've been injured or gotten lace bit EVERY TIME I've ever tied the skates too tight.
So there's a few off the top of my head but after playing this weekend with a bunch of newer players, these items seemed to be the most prevalent and common ones where some help could make a difference right away.
Add as you see fit...