The following are the requirements for Gold Explore Badge (all must be collected for the achievement:
I'm Done - Earn a Gold medal for every drop in one range.
I would advise Alaska to be the place to do it - Gold can be achieved on most drops pretty easily. It is advised you wait and do this badge when you have a higher level player so you can use better mods such as speed boost for race events and trick multiplier for trick events.
For the trick events where you have the avalanche view, try to keep the combo going (by manualing with b or x on flat) + (varying the tricks in the air) the whole way down the mountain and you will eventually get the required amount *there are two* - this is frustrating so keep at it!
Inheritance - Earn a total of 150,000 SSX credits from ghost wins.
Everytime someone loses to your record on a range, you will win an amount of credits - just make sure you have a good range of friends who have the game and set as many records as possible to increase the likliness of getting it quickly.
Supernatural Snowboarder - Your records have withstood 50 challenges from Friends.
This is similar to the last badge but is the number of times you must withstand them beating you rather than credits earned.
Lonely at the Top - Beat 50 friends records.
Again, make sure you have plenty of friends on your list and this will eventually come - this can be easily boosted by getting someone to set a poor record and then you beating it.
Hoarder - Place 15 Geotags that never get collected.
If you place a geotag in a hard to reach place and no one finds it for 24 +hours, this counts as 1. Try hiding them in cliff drops where someone is unlikely to stumble across unless by accident. As soon as you hit level 7 with a character, you can hold 2 geotags per run, speeding up the process.