[Xperia Z3 General] android404:
This is what I uninstalled without running into issues:

AR effect 3.0.43 (com.sonymobile.androidapp.cameraaddon.areffect)
AR fun 1.0.16 (com.sonymobile.androidapp.cameraaddon.arfun)
Black Hole 1.0 (com.android.galaxy4)
Blue 14.0.A.0.7 (com.sonymobile.themes.id005)
Browser 1.0 (com.android.browser)
com.sonymobile.faceregistration 1.0 (com.sonymobile.faceregistration)
Creative effect 1.0 (com.sonyericsson.android.addoncamera.artfilter)
Drive 2.1.495.10.35 (com.google.android.apps.docs)
DUALSHOCK™3 wireless controller 1.0 (com.sony.nfx.service.WirelessControllerManagerService)
DUALSHOCK™3/DUALSHOCK™4 1.0 (com.sonymobile.dualshockmanager)
Email 6.1 (com.android.email)
Enchanted forest 1.6.A.0.14 (com.sonyericsson.androidapp.everchwallpaper)
Exchange Services 6.1 (com.android.exchange)
Face Unlock 4.4.4-1227136 (com.android.facelock)
File Commander 3.1.13137 (com.mobisystems.fileman)
Google lyrics extension 5.0.A.0.8 (com.sonyericsson.music.googlelyricsplugin)
Google Play Books 3.3.15 (com.google.android.apps.books)
Google Play Games 2.2.05 (1620489-008) (com.google.android.play.games)
Google Play Movies & TV 3.6.16 (com.google.android.videos)
Google Play Music 5.7.1788Q.1634597 (com.google.android.music)
Google Play Newsstand 3.3.1 (com.google.android.apps.magazines)
Google Search 3.4.16.1149292.arm (com.google.android.googlequicksearchbox)
Google+ 4.4.1.68642489 (com.google.android.apps.plus)
Green 14.0.A.0.7 (com.sonymobile.themes.id001)
Info-eye™ 1.7.05 (com.sonymobile.androidapp.cameraaddon.infoeye)
Lifelog 2.0.A.0.12 (com.sonymobile.lifelog)
Live on YouTube 01.00.21 (com.sonymobile.camera.addon.livefromsonyxperia)
Magic Smoke Wallpapers 4.4.4-1 (com.android.magicsmoke)
Movie Creator 1.3.A.0.11 (com.sonymobile.moviecreator)
Movie Creator 2.3.A.0.3 (com.sonymobile.moviecreator.rmm)
Movies 8.0.A.0.6 (com.sonyericsson.video)
Music Visualization Wallpapers 4.4.4-1 (com.android.musicvis)
NDR Utils 1.1.3 (com.camber.ndrutils)
Orange 14.0.A.0.7 (com.sonymobile.themes.id002)
Phase Beam 1.0 (com.android.phasebeam)
Photo Analyzer Service 5.6.A.0.4 (com.sonymobile.photoanalyzer)
Photo Screensavers 4.4.4-1 (com.android.dreams.phototable)
Photo slideshow 1.0.A.0.21 (com.sonymobile.slideshow)
PlayStation®App 1.73.0 (com.scee.psxandroid)
Premium Sms Updater (com.sonymobile.premiumsmsupdate)
Purple 14.0.A.0.7 (com.sonymobile.themes.id004)
Red 14.0.A.0.7 (com.sonymobile.themes.id003)
Retail Demo 3.23.8 (com.sonymobile.retaildemo)
Setup guide 1.0 (com.sonyericsson.setupwizard)
Setup Wizard 1.3 (com.google.android.setupwizard)
Simple Home 1.0 (com.sonymobile.simplehome)
Sketch 2.0.A.1.6 (com.sonymobile.sketch)
SmartcardService 3.1.0 (org.simalliance.openmobileapi.service)
Social live 1.0.25 (com.bambuser.sociallive)
SocialEngine 4.0.A.3.3 (com.sonyericsson.socialengine)
Socialife 4.1.04.4 (com.sony.nfx.app.sfrc)
Sound Photo 1.0.0 (com.sonymobile.android.addoncamera.soundphoto)
Street View 1.8.1.2 (com.google.android.street)
Style Cover 1.0.A.0.15 (com.sonymobile.coverapp)
Style Cover widget 1.0.A.0.13 (com.sonymobile.coverwidget)
Top Contacts 1.0.A.1.35 (com.sonymobile.advancedwidget.topcontacts)
Top Contacts provider 1.0.A.0.2 (com.sonymobile.providers.topcontacts)
TrackID™ 3.82.27 (com.sonyericsson.trackid)
TrackID™ TV 1.5.A.0.11 (com.sonymobile.acr)
TV launcher 1.4.A.4.5 (com.sonyericsson.tvlauncher)
Video Unlimited 12.1.A.1.6 (com.sony.snei.vu)
Weather widget 2.1.A.0.10 (com.sonyericsson.advancedwidget.weather)
Wfd Service 2.0 (com.qualcomm.wfd.service)
White 14.0.A.0.7 (com.sonymobile.themes.id006)
Wikipedia extension 5.0.A.0.8 (com.sonyericsson.music.wikipediaplugin)
World clock 1.0.A.0.38 (com.sonymobile.advancedwidget.worldclock)
Xperia Calendar Sync 4.0.A.7.2 (com.sonyericsson.androidapp.fbcalendarsync)
Xperia Music Likes 6.0.A.7.1 (com.sonyericsson.androidapp.fbmusiclike)
Xperia Social Engine Photos 4.0.A.3.3 (com.sonyericsson.socialengine.plugins.facebook)
Xperia Social Engine Photos 4.0.A.3.3 (com.sonyericsson.socialengine.plugins.picasa)
Xperia Social Engine Sharing 4.0.A.3.3 (com.sonymobile.socialengine.plugins.facebook_sharefrwk)
Xperia Social Engine Sharing 4.0.A.3.3 (com.sonymobile.socialengine.plugins.twitter_sharefrwk)
Xperia™ Chinese keyboard 17.1.A.0.32 (com.sonyericsson.textinput.chinese)
Xperia™ Japanese keyboard 2.0.A.0.10 (com.sonymobile.pobox)
Xperia™ Live Wallpaper 2.0.A.0.14 (com.sonymobile.experienceflow2)
Xperia™ wallpapers 3.3.A.0.9 (com.sonyericsson.wallpaperpicker)
Xperia™ with Facebook 6.0.A.7.4 (com.sonyericsson.facebook.proxylogin)
Xperia™ with Twitter 1.0.A.7.1 (com.sonymobile.twitter.account)
YouTube extension 5.0.A.0.8 (com.sonyericsson.music.youtubeplugin)
YouTube karaoke extension 5.0.A.0.8 (com.sonyericsson.music.youtubekaraokeplugin)
Anonymous Data 1.0 (com.sonymobile.anondata)
Anonymous Usage Stats 1.0 (com.sonyericsson.idd.agent)
Backup & restore 1.0.A.0.8 (com.sonymobile.synchub)
com.sonymobile.gmailreaderservice 1.0.A.0.6 (com.sonymobile.gmailreaderservice)
com.sonymobile.googleanalyticsproxy 1.0.A.0.4 (com.sonymobile.googleanalyticsproxy)
Enterprise Service 1.0 (com.sonymobile.enterprise.service)
OMA Client Provisioning 1.0.0 (com.sonyericsson.android.omacp)
Oma Download Client 1.0 (com.sonyericsson.omadl)
ProtectedMediaScanner 1.3 (com.sonyericsson.providers.protectedmedia)
ProtectedMediaScannerTrigger 1.2 (com.sonymobile.protectedmedia)
SensMe™ slideshow 5.2.A.0.4 (com.sonymobile.musicslideshow)
Sony Select 3.0.A.0.37 (com.sonymobile.sonyselect)
Support 1.1.11 (com.sonymobile.helpapp7)
Tasks 1.0.A.0.2 (com.sonymobile.tasks)
Update Center 2.3.0.A.0.7 (com.sonyericsson.updatecenter)
Update service 1.0 (com.sonyericsson.mtp.extension.update)
What's New 1.4.A.0.1 (com.sonymobile.advancedwidget.entrance)
Xperia™ Lounge 2.8.10 (com.sonyericsson.xhs)
Xperia™ Lounge Pass 1.0.1 (com.sonymobile.xperialounge.services)
Xperia™ Web Runtime 1.0.0.1.9 (com.sonymobile.webview)
XTP 1.0 (com.sonymobile.xtp.android)