Here are a few tricks you might find useful.
When you pass through a gate that was created with certain runes, your pet will go through, but you won't. Instead, you get bounced back, and your pet sits there, blocking the gate. Due to a bug with the z-axis, runes marked on high points in the terrain will cause the bounce back effect. Runes marked on flat terrain or in low points will always be safe.
The most reliable method to get a pet out of fly mode is to command it to stay. There are 2 movements a pet will make once it has exited fly mode. The first, in the dragon's case, will look like it is jumping and landing in place. The second movement to look for is its "idle" animation. Once you see either movement, call the pet towards you, and it will drop down onto the ground.
For whatever reason, you may choose to get your winged pet into fly mode. This is very simple to do. Trap your pet (inside a house, on the other side of a fence, etc) and tell your pet to follow you. Voila! Your pet should, in frustration, enter fly mode in an attempt to reach you.
The death of a tamer usually results in the death of their pet. You can cut back on these losses by progressing in the Sacrifice Virtue. This will give you the ability to resurrect yourself should you die, as well as put all of the items from your corpse into your backpack.
When pets get stuck, it can be a royal pain. For magical creatures, you can use the "all/[petname] come" command, and they should teleport right to you. If for some reason they can't teleport to you, they aren't magical, or a dungeon level's layout prevents the pet from changing levels with you, you can mark a rune where you wish the pet to be, walk a tile away and cast gate and call for the pet as you pass through it.
If you attempt to claim a pet that doesn't exist in the stables or mistype its name, you will receive a listing of all of your pets. With this list, you can select any pet that is currently stabled (as long as you have enough control slots available).
Usually, an aggressive creature will immediately stop attacking you, once tame. Should this fail, cast the spell of invisibility on yourself once the pet is tame and it will lose you as a target, thus stopping it from attacking you once you become visible. Peacemaking, hiding, or putting on an item with invisibility charges will also work.
For wrestling and tactics, a newly tamed pet will receive excellent training early on by fighting wild creatures of the same species (such as frenzied vs frenzied).
If your mount is fighting a losing battle, slap a bandage on and get on. If your control over the mount is good enough, you should have little problems getting on it. Once the bandage finishes, you can dismount again and let the battle resume.
If you have wrestling or eval int (50% wrestling), you'll tend to accidentally punch an aggressive you're taming if it gets too close. If you equip a bow of some sort without any ammunition, you'll no longer damage the creature.
Finally found the creature you want to tame, but it's sitting in the middle of a huge pack of monsters? Find its health bar and invis yourself away from the pack, then attack the creature's health bar. The creature you want will walk towards you and the rest of the pack won't see what's going on. Walk away and repeat until you're as far away as desired.
Having trouble finding creatures with magery lower than your pet's resist? Don't forget you can make your pets fight against tameables, too. If the tameable's magery is still too high, you can tame it, causing it to lose 10% of its magery.
If you wish to dismount from one of the mounts in the LBR client with new artwork, you will need to double click specifically on your character. Double clicking on the mount will not allow you to dismount.
You can set yourself to automatically follow any creature or person in the game if you alt + click whatever you wish to follow. Handy if you are lagging while trying to tame a creature.