Drop Bezoar in the new Shimmer to get a Bandage.
Any item that directly makes the ankh charm has 2 ingredients. Those 2 ingredients can be transmuted to the other in Shimmer.. so if you are lucky and get 2 of 1, but not the other, you can still make it.
Shimmer spawns under 1 of the oceans, I think Cavern layer.
As for your accessories.. I mean they are fine, but if you want advice..
Upgrade your cloud in a bottle to a Bundle of Balloons. I normally find a world seed with a balloon and make 3 of those worlds. Otherwise ya need to hunt for 3 red balloons. I also have a world seed with lava charm, ice skates, and all 3 bottles for the bundle of balloons.
Upgrade boots to Teraspark.
In the 1.4.4 update even the Cellphone can be upgraded with the 2 Conch's. Magic Conch from I think deserts, and Demon Conch from lava fishing. (Hellstone bars and a bug net will make a net to catch lava critters to fish in lava, Teraspark boots will allow walking on lava and give lava immunity)
All wings prevent all fall damage.. fledgeling wings before hardmode, leaf wings can be bought for I think 75 gold from Witch Doctor housed in the jungle. I got lucky and got a Giant Harpy feather super early before hardmode, or you could farm pixies for those wings; all will need you too kill Wyverns for Souls of Flight besides fledgling and leaf, since you don't need to craft those ones.
It's better to find the cobalt shield to attach an obsidian skull to than the horseshoe; the bundle of balloons give quadruple jump, wings will prevent fall damage like a horseshoe, and the cobalt shield crafts into the ankh shield eventually, granting immunity to -alot- of annoying debuffs; while it's base shield gives knockback immunity, a must have for most things since it's hard to aim if your are constantly getting pushed around.
Now. You may not even still have this world or character, but thought this would be good info for those looking at this forum post, like I am, as they are going into hardmode for the first time, or after a long hiatus, and not wanting to miss stuff.
Hallow Mimic gives the best ranged weapon for it's point in the game, Daedalus Stormbow. I think Corrupt for magic and Crimson for melee, but they could both be melee, but crimson is very close melee. The Fetid Ba... Not even gonna butcher it's name, I never used, but if you like up close melee may be good..
As for gear.. I have used Space Gun from once the first meteor drops up until I get early hardmode weapons, then switch to the underworlds mace the Dao of Pow. Space Gun only used while wearing Meteor Armor. I'm preparing a larger world for hardmode now and while I have hardmode ore armors I am still using Meteor, but most my accessories have +3/+4 Armor, so it isn't much a difference. Reforging accessories can give up to +20 defense, almost a third of even hardmode ore armors.
This would need another world since I think ya mention Adamantine.. but Titanium gives a very good set bonus for melee users. It's set bonus basically gives you shields that damage enemies.. not as good against ranged enemies but can wreck melee ones if used right.
Once you down a boss definitely head to the jungle, and learn how to counter the enemies there, while nabbing some Life Fruit to max out health (500)
Farming for Souls of Light/Night should also be a priority; they are needed for some crafting and allow you to spawn greater Mimics, although you won't need too many with a bit of luck, since each one usually only has 1-2 things you will be aiming to get, outside of collecting things or multiclassing (as in, aiming to get gear for multiple classes)
Before you defeat the Mech Bosses, the easiest is The Destroyer. By using the right weapons and making an elevated arena, it can be cheesed pretty simply, the Twins can be too but require fast boots and a skybridge, or a gravitation potions. (Make it chase you... Until it dies. Meaning it can't hit you much and it remains on one side of you, making aiming alot easier) and Skeletron Prime can be annoying since it's 4 arms and the head all attacking, so I recommend that one last.
I'm surprised you have got so far with a Cobalt Shield. It's one of my first (Read: Only) priorities after Meteor gear. Horseshoes aren't really used as much so glad they have been getting love.. but they aren't used for a reason; wings do the same thing as a 'side effect' almost, in addition to a main effect.
TL
R, weapons should be the biggest priority, agreed, but look into Accessories too. You grinded for the Cellphone and nothing besides Shell Phone and Zenith has a bigger crafting trees, although Ankh Shield is close.. So a Bundle of Balloons and Obsidian Shield shouldn't be anything difficult at this point. Fledgling Wings as a minimum to compensate fall damage.