1. 一対の巨影
This is the emergency quest in the Village ★★★★★ Quests.
2. 双魚竜
Up against a pair of ガノトトス (Ganototos) in area 3 and 4 at the jungle, the monsters only appear in the beach. This is an otherwise easy task made difficult by the fact that the monsters prefer to stay in the water most of time. I find the sonic bombs especially useful if you throw it right after the monsters spray those water. Remember to bring weapons with fire and thunder effects if you want to clear this quest fast.
3. 桜舞う密林
リオレイア (Rathian) awaits you in the jungle. It moves around area 1, 2, 3 and 4, rest in area 7 when it's weak enough. Bring weapon with dragon or thunder effects, and flash bombs are really useful if you want to make it quick.
Unlike リオレウス (Rathalos), Rathian won't fly during battle, which makes thing a whole lot easier. Simply hack it whenever it's blowing fire or stunned by your flash bombs. Watch out for it's somersault attack though, as it can send you home if your health bar is not long enough. Roll to the side immediately if you find yourself underneath it when the monster steps back in preparation of this deadly attack.
4. 4本の角
Kill or capture a pair of ディアブロス (Diablos) in the desert at night (bring hot drinks). This task is made complicated by the fact that they like to appear in an area together, making it extremely hard to concentrate and easily get killed. Make use of the sonic bombs and things should be much easier. You should only throw it the moment when the monster's tail dissappear into the sand but it's extremely hard to get it works when the monster enters rage mode. So it's better to wait till it cool down or just attack the other one first. Capturing them is a little tricky simply because Diablos doesn't really show any sign of dying but you should get your traps ready the second or third time it enter rage mode.
5. 牙を持つ太陽
テオ・テスカトル (Teo Tesukatoru) awaits at the desert. The key items to bring are クーラードリンク (Cool Drink), 強走薬 (Power Juice) and 活力剤 (Immunizer). Weapons with dragon and water are recommended, fire resistant armors will helps a lot. The monster only moves between area 2 and 5. At area 2, it's helpful because base camp is just next to it and you can use the shortcut to jump straight to area 6, the quickest way to area 5.
This is one scary looking monster for me but it's not hard to beat, as you can at least make 3-5 hits when its breathing fire plus the desert's wide open space make it even easier to evade its charging attacks (press X while running if its too late to avoid it). Be careful when it enter rage mode though, in fact I wouldn't recommend attacking when its in bad mood. You can't really kill it though, as it will just fly away when it's weak enough.
6. 煉獄の主、怒れる炎帝
Repel a fiery テオ・テスカトル (Teo Tesukatoru) at the volcano. As its name suggests, it's a slightly different version of ナナ・テスカトリ (Nana Tesukatoru) you met earlier in the same area. So the exact same strategy applies as well. It almost only goes to area 6, 7 and 4, the latter make things a lot easier since it's closest to home, handy to recover those lost health by standing near to the monster alone.
7. 鎌将軍の包囲陣
Surrounded by two ショウグンギザミ (Shougun Gizami) at the volcano map. They are extremely agile and their claws have wide area of attack, expect plenty of running and 強走薬 (Power Juice) are handy here. They will appear in pair sometimes but not often, and it's better to avoid that kind of situation altogether by fleeing to the next area and wait till they separated (use the paintballs to track them).
Bring a weapon with the thunder element attached and armors that has high water resistant to make the task a lot more easier. Run to it's side when it's making an attack and just start hacking, the thunder element will stun them quite often.
8. 激闘！蒼の火竜
リオレウス (Rathalos) is alway tough for me. It's the strong sub-species here and it moves a lot in the map, so ペイントボール (paint ball) are a must here. It likes to go to area 10 to drink and when its heavily injured, it will goes to the cave of area 5 to rest. Use 閃光玉 (flash bomb) to blind it temporily and get your free attack, try to hit its head as that will make it faster. On the other hand, its most dangerous and unpredicatable attack is when it's floating mid-air and to launch either the fire balls or poison attack. The best way to evade this is to keep an eye on the direction the monster is facing while on-air and always rush to its back.