[Samsung Galaxy S7 Guides, News, & Discussion] vukis:
Two lists. Apps which are safe to disable. And apps which had issues when disabled please add issue description.

Apps that had issues when disabled (EDIT 2016-04-06):

com.osp.app.signin (Could not download additional camera modes without this one)

com.android.externalstorage (Could not submit external sd card permissions to external application

com.sec.android.ofviewer (Camera selective focus mode edition does not work without this one)

com.facebook.system (Oculus apps downloaded but failed to install without this one)

com.samsung.android.hmt.vrsvc (Samsung gear VR Service. Oculus does not start without this one)

com.android.nfc (Clear view cover case functionality was not working without this. I believe neither any NFC functionality. Strange that package Disabler suggests disabling this as bloatware)

com.android.documentsui (In case to you can allow access for app (SD Maind) you have to allow this package as well. Thanks to robie_cz)

Currently disabled apps list as it is early version it "couldn't be called safe to disable list" (EDIT 2016-03-11):

com.monotype.android.font.rosemary

com.sec.android.widgetapp.samsungapps

com.samsung.android.app.galaxyfinder

com.sec.android.app.chromecustomizations

com.android.wallpapercropper

com.sec.android.app.wfdbroker

com.samsung.android.app.withtv

com.samsung.android.hmt.vrshell

com.sec.factory.camera

org.simalliance.openmobileapi.service

com.sec.factory

com.android.mms.service

com.sec.android.app.tourviewer

com.sec.android.Kies

com.sec.android.app.voicenote

com.sec.android.widgetapp.easymodecontactswidget

com.samsung.android.email.provider

com.sec.android.app.samsungapps

com.microsoft.office.excel

com.sec.android.app.billing

com.sec.android.app.minimode.res

com.samsung.android.game.gamehome

com.sec.android.daemonapp

com.dsi.ant.service.socket

com.sec.android.AutoPreconfig

com.microsoft.skydrive

com.samsung.android.securitylogagent

com.samsung.SMT

com.samsung.android.drivelink.stub

com.dsi.ant.sample.acquirechannels

com.instagram.android

com.samsung.android.app.memo

com.microsoft.office.onenote

com.android.calendar

com.samsung.android.sdk.professionalaudio.utility.jammonitor

com.android.sharedstoragebackup

com.samsung.android.app.colorblind

com.android.printspooler

com.android.dreams.basic

com.sec.android.app.dictionary

com.samsung.android.app.talkback

com.samsung.android.game.gametools

com.sec.allsharecastplayer

com.samsung.android.weather

com.dsi.ant.plugins.antplus

com.microsoft.office.word

com.sec.android.app.clockpackage

com.microsoft.office.powerpoint

com.samsung.android.app.mirrorlink

com.samsung.android.app.vrsetupwizardstub

com.samsung.android.sm

com.sec.android.widgetapp.locationwidget

com.sec.spp.push

com.dsi.ant.server

com.sec.android.app.myfiles

com.samsung.android.allshare.service.fileshare

com.sec.android.app.sns3

flipboard.boxer.app

com.sec.android.providers.tasks

com.monotype.android.font.chococooky

com.android.dreams.phototable

com.sec.android.service.health

com.samsung.safetyinformation

com.android.providers.partnerbookmarks

com.samsung.android.keyguardwallpaperupdator

com.android.wallpaper.livepicker

com.samsung.android.beaconmanager

com.samsung.android.app.FileShareClient

com.sec.android.app.popupcalculator

com.samsung.android.mdm

com.sec.android.app.shealth

com.samsung.android.bbc.bbcagent

com.samsung.android.voicewakeup

com.samsung.android.app.watchmanagerstub

com.policydm

com.samsung.android.app.FileShareServer

com.monotype.android.font.cooljazz

com.facebook.appmanager

com.samsung.voiceserviceplatform

com.samsung.android.allshare.service.mediashare

com.sec.android.app.mt

com.sec.knox.switcher

com.sec.android.app.magnifier

com.sec.android.widgetapp.webmanual

Apps can be disabled by Package Disabler Pro (Samsung)