King of QUB3D: Beat the High Score in QUB3D. - 15G
This is the arcade machine that's in the same bar as the pool table. It's a fairly simple game, as all you've got to do is group like colors together. The easiest way to build up your score is to create four-block cubes, which will gradually give you the power to destroy the blocks in the center if they get too high. Just spend a little time getting to know the nuances and strategy behind the game and you should be able to top the high score pretty easily.
Dare Devil: Complete 100% of the unique stunt jumps. - 30G
There are a total of 50 stunt jumps scattered around Liberty City, many of which begin with a ramp as a launching pad. You'll not only need to hit the ramp at the right angle, but also travel far enough and stick your landing to get credit. The best way to do this is generally to grab a fast motorcycle, as this is the easiest way to guarantee that you'll build up enough speed. Once you land, you'll be informed of your success.
Endangered Species: Collect every hidden package in the game. - 50G
Although the previous games in the series actually had hidden packages, the folks at Rockstar decided to include a much more appropriate homage to New York City in GTA4: pigeons. Yes, you'll have to shoot each of the 200 "flying rats" that are scattered about Liberty City to get this Achievement, and we're not about to list the location of each of them (again, check out the GTA Hood Map for more info).
Key To The City: Achieve 100% in "Game progress" statistic. - 100G
This one will take you a very long time, as you'll basically have to experience everything GTA4 has to offer. Have fun!
Multiplayer Achievements
Teamplayer: Kill five players who are not in your team in any ranked multiplayer team game. - 10G
This one is pretty self-explanatory, with Team Deathmatch (don't forget it has to be ranked!) being your best bet for getting this one.
Cut Your Teeth: Earn a personal rank promotion in multiplayer. - 5G
Just play a few matches of ranked multiplayer and you should rank up to Level 1.
Wanted: Achieve the highest personal rank in multiplayer. - 20G
The highest rank is 10, but we have a feeling it'll take a looooong time to reach it. Just keep playing and (hopefully) you'll get it eventually!
Join The Midnight Club: Win a ranked multiplayer race without damaging your vehicle too much and with damage enabled. - 10G
You can either keep trying over and over to get this Achievement, or keep joining and quitting matches until you're the host (yes, I know how sketchy this is). Once you are, set the lap number to one and start it as a helicopter race. This will make it much, much easier to avoid damage! You can also try to start the race with just one or two other people in the match, as this increases the chance that you'll win.