I've been trying to find out what skills Drow have options to be proficient in, typically a race offers a few choices but only allows you to pick two, and your class gives you two more, followed by your background giving you 1 or 2 more correct? But I've looked at numerous sites trying to find out what skill choices Drow offer and have found none. Is it an error or do they really have no skill proficiencies? I know they have some weapon proficiencies and whatnot but I figured they'd have some skills too.
[RPG] What skills are Drow proficient in
dnd-5edrowproficiencyskills
Related Solutions
There are a few classes you can multiclass into to gain skills, such as Bard, Ranger or Rogue.
In addition to that, in the player's handbook there is a feat called "Skilled" which allows you to gain proficiency in any combination of 3 skills or tools.
In Xanathar's Guide to Everything, we have the Prodigy feat which gives a skill proficiency and a few other things, but can only be taken by a Human, Half-Orc, or Half-Elf.
In Tasha's Cauldron of Everything, the feat Skill Expert gives proficiency in a skill and a few other benefits, with no racial prerequisite.
There is also a bard ability in the college of lore that allows you to learn 3 more skills at level 3.
Currently, the downtime rules allow you to gain proficiency in tools but not skills.
In case it isn't clear, you don't have to pick skills from your class skill list when you gain new skills through the "Skilled" feat. You can pick any skill you want.
Metagaming
First, lets kill the metagaming ad hominem: "Metagaming is any strategy, action or method used in a game which transcends a prescribed ruleset, uses external factors to affect the game, or goes beyond the supposed limits or environment set by the game. Another definition refers to the game universe outside of the game itself."
Optimising a combat-oriented character to be good at combat within the rules is not and never can be metagaming. You can't even mount a game universe argument that it is: a person who has devoted his life to being a wilderness warrior (aka a Ranger) is going to learn to be good at fighting or die!
Comparison
Hit Points
Your hit point edge is insignificant; an 11 hp advantage is, on average, 2 hits or 1-2 rounds more staying power in a combat (less if fighting multiple foes). When you consider that the Paladin has an ability to heal 15 hp with their Lay on Hands ability at the cost of an action, they effectively have more hp than you do. You do have a definite advantage if you are being hit by things like fireballs; on failed saves you are the only one left standing.
This is an edge but a small one.
Damage output
I will assume everyone has the same stat modifier on damage rolls.
If you are using your bow and choose to use a spell slot for Hunters Mark, you can do 3 + d8 (bow) + d6 (Hunters Mark) (avg 11) on the first hit and the same plus d8 (Colossus Slayer) (avg 15.5) on subsequent attacks. This is great if you are fighting a monster with lots of hit points; it is not so good against a dozen goblins since the first hit will drop them and your Colossus Slayer never kicks in.
Meanwhile the Paladin with a longsword and the dueling fighting style is doing 3 + 2 + d8 (longsword) + 2d8 (Divine Smite) (avg 18.5) (I haven't considered some of the really cool spells they have).
The Rogue is doing 3 + d8 (longbow) + 2d6 (sneak attack - a good rogue should almost always get this) (avg 14.5).
The Sorcerer has a plethora of options (Magic Missile, Burning Hands, and Cloud of Daggers spring to mind) or they can just fall back on a damaging cantrip for d10 (avg 5.5). If they are a gambler, Hold Person can end a combat with a single humanoid on one failed saving throw.
If the Bard wants to be handing out massive damage in combat then they chose the wrong class; that is not where their talents lie, they are an enabler - they enable others to do more damage.
The Ranger is not the best at handing out damage.
Overall, you are playing your character to his strengths; are the other players playing to theirs?
Pacing and Encounter structure
You say "I was typically able to go first in any combat due to high DEX, and dealt such insane damage that the guys going last did nothing".
I read "The encounters are underpowered".
Don't misunderstand me: it is the nature of RPG that the PCs will win (almost) every fight because they can only lose once. Most combats will be and should be cakewalks, they are there because combat is fun and they consume resources. That said, they shouldn't be so insignificant that they are over before the first round ends. A quick combat like this is great if the players have planned and executed a great ambush, its not great if it is just way underpowered.
If you have enough spells to use a spell in every combat then you are not having enough encounters between long rests. Burning through spell slots for a non-core spellcaster should be a tough decision: "Do I use it now or will I need it latter?" If you are not thinking this, at least briefly, all the time then your DM is being easy on you. Fights early in the day will usually be easy but this is due to everyone having lots of resources, as you burn through spell slots and hp the same encounter becomes much harder.
Also, the structure of encounters matters. 5 PCs on one monster is an easy fight (unless the monster's CR is extremely high for the party); the monster can only target 1 PC while copping damage from all 5. 5 PCs on 5 monsters is much harder; the tough PCs have to control the battlefield or the squishy PCs will get squished. 5 PCs on 15 monsters, even very weak monsters, is really hard; everyone is copping damage and the fight will last 4-5 rounds minimum.
Best Answer
The Drow race does not confer any skill proficiency
I looked up my PHB on page 24, and the only proficiencies gained by Drow are rapiers, shortswords, and hand crossbows, in addition to Perception given by being an Elf (of any kind).
Most races do not confer skill proficiencies, and no option of selecting among them
Some races give proficiency in certain tools (like Rock Gnomes), or armor (like Mountain Dwarves), or even skills (like Elves), but it is not an automatic thing every race does.
The only races that I've seen that give a choice of skills are Half-Elf which has Skill Versatility, you gain proficiency in two skills of your choice, and a variant trait for Human, which gives 1 skill of your choice.
Classes let you choose (usually 2) skills to be proficient in
Based on your class you can choose a number of skills to be proficient in, from a provided list. You may be confusing this with what you get from your race.
Backgrounds also give 2 skill proficiencies, but these are determined by the background you choose and can't be mixed or changed (although you can make a custom background to choose the skills you want).