Before I add my list of issues, I just want to point out that the typo in Terramorphousās Tentacles was fixed with the last patch, as was the damage issue with the Sand Worms 
.
The Handsome Collection specific issues:-
1: As of the 1.02 patch, you canāt do local Splitscreen with 2 accounts in some cases.
2: Most of the Elemental Challenges in BL2 are unobtainable with imported characters because the numbers donāt tally and go massively into minus figures.
3: The contrast levels on the item cards are much too high which makes the details extremely hard to read.
4: The light bar Rarity display feature doesnāt work properly because most items donāt show as the correct colours either at all or only randomly.
5: The Cradle is severely under powered in all playthroughs and needs buffing.
6: Give Saturn a Critical Hit point
7: The ECHO Logs in Stantonās Liver produce distorted and Echoey audio which is almost impossible to hear.
8: When using a Customised version of the Default controls, the L1 and R3 buttons randomly stop working.
9: Certain loot containers hover above the ground near the Torgue Arena in BL2 because part of the scenery is missing.
10: Thereās no DLC menu for the Pre-Sequel but there is for BL2. If thereās no more DLC coming to either game, then it would make more sense to just remove them and free up some memory.
11: I know this probably isnāt possible but Iām going to ask anyway but I would love for the āExtra Wubsā code to be ported to the PS4 version of BL2. I know it doesnāt do anything other than add an extra menu entry but it was still a cool addition when it was discovered for the PS3 version.
12: For some reason, a weird rushing sound occurs when fast travelling/transitioning to certain locations e.g. Marcusās Mercenary Shop, Serenityās Waste, Pityās Fall etc. This bug was introduced with the 1.03 patch.
21: The brightness levels in Washburn Refinery are extremely uneven and get obnoxiously bright in the Engineerās Ring were you fight Hyperius. This bug was introduced with the 1.03 patch.
22: The āFind Murderlinās Templeā mission has become glitched again, this was fixed a couple of years back on the PS3 but the fix has undone itself. The fix for this is the same as it was back then i.e. you have to complete the mission āRoll Insightā first, then you will be able to Turn In the āFind Murderlinās Templeā mission. This glitch affects both the PS3 and 4 versions of the game.
23: I havenāt experienced this one personally but after doing some research, it appears that the Zer0ās Kunai have been accidentally nerfed again so donāt do as much damage as they should.
24: I donāt know if this affects the PS3 version or not but the latest patch has introduced a severe connection issue whereby people get frequently and randomly disconnected during area transitions either via
the portals or Fast Travel Stations. This problem also affects The Pre-Sequel but to a lesser degree.
25: Some item cards are too narrow and either crop off the edge of some descriptions or force the text to overlap, thus rendering some sections unreadable.
26: Hereās a list of issues that I maintain on another site, thereās so many that I canāt port them all over: http://www.playstationtrophies.org/forum/borderlands-2-a/177119-borderlands-2-glitches-fixes.html
27: Now Vermivorous has received a spawn and item drop rate buff, it would be great if Triple O could get the same treatment as heās a pain to spawn and the drop rate for the Twister is lousy.
28: All the Raid Bosses need a health, shield and damage nerf because they do way too much damage and most take too long to kill. Voracidous and Master Gee in particular are a nightmare and I have yet to find a way of killing them legit on Playthrough 3 without using exploits 
.
29: Most of the issues listed here, still havenāt been addressed to my knowledge: https://gearboxsoftware.zendesk.com/hc/en-us/sections/200939380-Handsome-Collection-on-PlayStation-4
30: The Tubby/Chubby loot pools needs redistributing since they drop way too many items and farming for a specific drop gets really annoying after a while. Some of the bosses in the game only drop 1 item so they could easily be made to drop something else as well.
31: Both TPS and BL2 have a problem with some bosses having terrible drop rates, despite the numerous drop rate increases so it would be great if e.g. The Warrior, The Towering Shuggurath of Ice, Son Of Mothrakk (who is buggy as hell anyway), The BNK-3R, Rabid Adams, Felicity etc. could get a drop rate increase thatās specifically targeted at them so we donāt have to spend hours trying to get something from them.
32: There is a bug during the Wilhelm fight which means that a crucial part of the story given by Jack via an ECHO transmission doesnāt play (this affects all versions of the game).
33: Thereās a really nasty Activity Feed bug doing the rounds which really needs fixing: Error in PS4 activity feed please help
Hot Fixes that still need hardcoding (all info taken from the official support site):-
- Increased Shock Spike shield damage by addressing issue where it was not being calculated properly.
- (Mr. Torgue DLC) Fixed an issue where the Lootsplosion would not always trigger after defeating Piston. - This was supposed to have been fixed years ago but for whatever reason, the fix didnāt take so still happens. It would be nice to get a legendary out of this Vault since what does come out is 99% junk.
- (Sir Hammerlock DLC) Fixed an issue where Rakkanoth would not always spawn if players were too far away. - It would be great if this boss could be made respawnable so we have another way of getting the Son of Mothrakk Customisations.
- Fixed audio issues for clients using the āHide of Terramorphousā shield.
- Fixed a bug that prevented Pimon from spawning in Wildlife Exploitation Reserve if players had completed the āSwallowed Wholeā side mission.
- Addressed an issue that could cause sound effects to loop during the āTrain to Catchā mission.
- (Mr. Torgue DLC) Enemies above Level 50 should no longer appear during āTier 3 Battleā missions while playing in Normal and True Vault Hunter Mode. - This was supposed to have been fixed years ago but Lv52 enemies still appear on Playthroughs 1+2.
- Addressed a rare issue where players who did not complete the optional āCollect Slag Samplesā objective would not properly spawn back into the Natural Selection Annex.
- (Tina Tiny DLC) Repositioned the boundary turrets in Unassuming Docks to prevent players from missing a critical area.
- (Mr. Torgue DLC) Badassasarus now takes proper explosion damage from the Tunguska rocket launcher.
- Mayaās Blight Phoenix skill is now buffed to be on par with other skills in the tree.
- Zer0ās Deathmark ability now receives a larger damage boost.
- Vermivorous will now be easier to spawn in a single-player game.
- Increased drop rate for the Hyperion assassin skin customizations.
- Increased drop rate for Mayaās āFrozen Wrathā skin customization.
- Increased chance to spawn shield boosters when using the āWhiskey Tango Foxtrotā shield.
- Zeroās ā Velocityā skill will now apply critical hit damage correctly.
- Gaigeās āWires Donāt Talkā skill now appropriately increase shock DoT damage.
I agree everything that has been said in the OP, especially about the Sir Hammerlock Uniques because those have a abysmal damage scaling. The Cradle is another item which needs a massive damage buff because itās useless right now.
