My computer specifications:

• Intel Core i5-4570
• 16 GB Memory
• Radeon HD 5770

I followed the instructions here, with these changes:

• Using video driver “fglrx-updates” (the tutorial talks about NVIDIA cards)
• Did not install TuxLoL
• Did not do anything regarding the “Maestro error” since it only applies to Optimus Notebook users
• Did not follow step 6 because I did not run into the problem for big item icon text for the item shop
• EDIT: Thanks to Ingvar’s comment, the installation progress for the game can be viewed like so: open terminal (Ctrl+Alt+T) and execute:

tail -f ~/.PlayOnLinux/wineprefix/LeagueOfLegends/drive_c/Riot\ Games/League\ of\ Legends/Logs/Patcher\ Logs/*.log

There are also other steps that I had to do, which I read from here:

• Click configure for the “League of Legends” entry in “PlayOnLinux” and find the “Display” tab and then choose the following options:
  • Direct Draw Renderer – gdi
  • Video memory size – 4096 (or something else depending on graphics card)
  • Offscreen rendering mode – fbo\0
  • Everything else on default
• Create a file called “game.cfg” in the directory “/home/your-username-here/PlayOnLinux’s virtual drives/LeagueOfLegends/drive_c/Riot Games/League of Legends/Config”. Below is what I have in my “game.cfg”:

[General]
EnableAudio=1
GameMouseSpeed=10
UserSetResolution=1
BindSysKeys=0
SnapCameraOnRespawn=0
OSXMouseAcceleration=1
AutoAcquireTarget=0
EnableLightFx=0
WindowMode=0
ShowTurretRangeIndicators=0
PredictMovement=0
WaitForVerticalSync=0
Colors=32
Height=1080
Width=1920
SystemMouseSpeed=0
CfgVersion=5.3.296
x3d_platform=1

[HUD]
CameraLockMode=0
MiddleClickDragScrollEnabled=0
KeyboardScrollSpeed=0.5000
ChatScale=50
ObjectTooltips=0
AutoDisplayTarget=0
ShowAllChannelChat=1
ShowTimestamps=1
ItemShopPrevY=39
ItemShopPrevX=106
NameTagDisplay=1
ShowChampionIndicator=0
ShowSummonerNames=1
ScrollSmoothingEnabled=0
MiddleMouseScrollSpeed=0.5000
MapScrollSpeed=0.5000
ShowAttackRadius=0
NumericCooldownFormat=1
SmartCastOnKeyRelease=0
EnableLineMissileVis=0
FlipMiniMap=1
ItemShopResizeHeight=0
ItemShopResizeWidth=164
ItemShopPrevResizeHeight=1080
ItemShopPrevResizeWidth=1920
ItemShopItemDisplayMode=1
ItemShopStartPane=1

[Performance]
CharacterInking=1
ShadowsEnabled=1
EnableHUDAnimations=0
PerPixelPointLighting=0
EnableParticleOptimizations=0
BudgetOverdrawAverage=0
BudgetSkinnedVertexCount=0
BudgetSkinnedDrawCallCount=0
BudgetTextureUsage=0
BudgetVertexCount=0
BudgetTriangleCount=0
BudgetDrawCallCount=0
EnableGrassSwaying=0
EnableFXAA=0
AdvancedShader=0
FrameCapType=6
GammaEnabled=0
Full3DModeEnabled=0
AutoPerformanceSettings=0
CharacterQuality=4
EffectsQuality=4
EnvironmentQuality=4
ShadowQuality=4
GraphicsSlider=6
paths=0

[FloatingText]
EnemyTrueDamageCritical_Enabled=1
EnemyMagicalDamageCritical_Enabled=1
EnemyPhysicalDamageCritical_Enabled=1
TrueDamageCritical_Enabled=1
MagicalDamageCritical_Enabled=1
PhysicalDamageCritical_Enabled=1
Countdown_Enabled=0
EnemyTrueDamage_Enabled=0
EnemyMagicalDamage_Enabled=0
EnemyPhysicalDamage_Enabled=0
TrueDamage_Enabled=0
MagicalDamage_Enabled=0
PhysicalDamage_Enabled=0
Score_Enabled=0
QuestComplete_Enabled=0
QuestReceived_Enabled=0
Disable_Enabled=0
Level_Enabled=0
Dodge_Enabled=0
Heal_Enabled=0
Special_Enabled=0
Invulnerable_Enabled=0
Debug_Enabled=0
Absorbed_Enabled=0
OMW_Enabled=0
EnemyCritical_Enabled=0
MagicCritical_Enabled=0
Critical_Enabled=0

[Volume]
SfxVolume=0.5
MasterVolume=0.5

CAVEAT: NETFILE did not work for me.  I had to submit my taxes through an installation done on Windows

1. Install PlayOnLinux and then run it (e.g. starting it through the Terminal)

sudo apt-get install playonlinux

2. Click “Tools” > “Manage wine versions”
3. Choose 1.7.27 under “Available Wine versions” and then click the right arrow “>”
4. Go through the steps in the installer and let it finish
5. Back in the PlayOnLinux main screen, click “Install” in the menu, and then click “Install a non-listed program” on the bottom left
6. Choose “Use another version of Wine”, when asked, and then choose 1.7.27
7. Choose “Install a program in a new virtual drive”, when asked
8. Choose “32 bits windows installation”, when asked
9. Find the location of setup.exe for the TurboTax installer (I copied the files off of the disc to a place on my hard drive)
10. Ignore the message “Error in FS_Check” if it appears
11. Let the install complete, but do not launch TurboTax right away
12. Choose “tt2014.exe”, if asked to create a shortcut
13. Back in the PlayOnLinux main screen, select entry for TurboTax and click “Configure” in the menu
14. Make sure the “Wine version” is set to 1.7.27
15. Under “Install components”, install the following in this order (some of these may not be required, but I don’t know which since this is the configuration that worked for me):
    • vcrun2012
    • Microsoft Core Fonts
    • msvc100
    • RegisterFonts
    • vcrun2010
    • dotnet40
    • d3dx9
    • mono28
    • Internet Explorer 8 (click “Restart” in the installer)
    • crypt32
16. Back in the PlayOnLinux main screen, clicking “Run” for TurboTax 2014 should now work!

This is what worked for me, so hopefully this will work for others.