I've been using about 10 so far:
Disable Dogmeat Whining - http://www.nexusmods.com/fallout4/mods/2385/?
Value per Weight indicator for container UI - http://www.nexusmods.com/fallout4/mods/334/?
Lowered Weapons - http://www.nexusmods.com/fallout4/mods/522/?
Free Weapon Downgrades - http://www.nexusmods.com/fallout4/mods/2073/?
Craftable Ammo - http://www.nexusmods.com/fallout4/mods/798/?
Settler Renaming - Rename Settlers and NPCs - http://www.nexusmods.com/fallout4/mods/2017/?
Quiet Dogmeat Paws - http://www.nexusmods.com/fallout4/mods/575/?
No more cash register sound when XP gain - http://www.nexusmods.com/fallout4/mods/100/?
Silent Generators and Turrets - http://www.nexusmods.com/fallout4/mods/1396/?
No Idiot Savant Noise - http://www.nexusmods.com/fallout4/mods/358/?
Activate-VATS Fail Sound Removal - http://www.nexusmods.com/fallout4/mods/115/?
Better Item Sorting - http://www.nexusmods.com/fallout4/mods/897/?
Enhanced Blood Textures - http://www.nexusmods.com/fallout4/mods/212/?

Here is the next set I plan to try out:
No Player Voice - http://www.nexusmods.com/fallout4/mods/103/?
More hairstyles - http://www.nexusmods.com/fallout4/mods/977/?
Better Tattoos - http://www.nexusmods.com/fallout4/mods/1286/?
Synth Eyes - http://www.nexusmods.com/fallout4/mods/2083/?
Ormus Immersive Mods - http://www.nexusmods.com/fallout4/mods/141/?
Brotherhood of Steel tattoos - http://www.nexusmods.com/fallout4/mods/4009/?
Silent Harvesting - http://www.nexusmods.com/fallout4/mods/2327/?
Followers aren't loot critics - http://www.nexusmods.com/fallout4/mods/4645/?
Mega Explosions - http://www.nexusmods.com/fallout4/mods/2961/?
Moo's Clearer Water - http://www.nexusmods.com/fallout4/mods/3891/?
Remove Pipboy Screen Glow - http://www.nexusmods.com/fallout4/mods/1939/?
REAL - http://www.nexusmods.com/fallout4/mods/2572/?
Smart Targeting HUD - http://www.nexusmods.com/fallout4/mods/4603/?
New Dialogue - http://www.nexusmods.com/fallout4/mods/619/?
Pleasant UI - http://www.nexusmods.com/fallout4/mods/3857/?
Silent UI - http://www.nexusmods.com/fallout4/mods/112/?

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Update on Silent UI: This mod has multiple sounds removed from the game, so you can delete the following mods from the top section.
  • No Idiot Savant Noise
  • Activate-VATS Fail Sound Removal
  • No more cash register sound when XP gain


So far, I really like the Silent UI. It makes the game more focused on what is going on in the environment rather than having to listen to all the sounds made by your pip-boy.