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An army list for a 2100pts [single FOC] tournament....
But I decided to go fluffy

HQ1: Company Master. Bolter, Power Sword, Power Field Generator
HQ2: Librarian, Bolter, Force Sword, Power Field Generator
HQ1.1: Command Squad. 4x Bolter,Bolt pistol; Champion [if only to accept challenge]; sacred standard of devastation
Troops 1-2: 10 men tactical squads, no upgrades
Troops 3-6: 10 men tactical squads, various heavy and special weapons
Fast 1-2: 2 5-men assault squads [2x flamer, melta bomb]
Heavy 1: 10 men Devastator squad, 4 lascannons
Heavy 2: 10 men Devastator squad, 4 ML
Dedic. transports: 3 rhinos [for command squad and 2 tactical squads; tactical rhinos only to hide command rhino behind them]
Fortification: Aegis Defense Line, no upgrades

==

Company master is a fluffy choice, probably second librarian would be better

Typical static gunline with devastators as source of long range firepower and assault marines as a fast moving unit to intercept assault /optional antitank

HQs protect devastator squads with their PFGs.

Command squad hidden in rhino [which is hidden behind two other rhinos]

Tactical marines within 6" from command rhino and behind ADL.
==

Goal to obliterate any horde-like assault army; against long-range shoty army like Tau, I'm afraid my goal would be "not to get tabled"

This will be played in highly competitive environment, so my goal would really be "not to be tabled" [and to hold objectives well due to having 60 scoring bodies].

Looking for advice to make this list a little bit more competitive while maintaining core of what makes it "battle company".

That is: I really want a Captain, 6 tactical squads, 2 assault and 2 devastator squads.

You could drop the devastator ML squad for a Quad Cannon (gives you 4 skyfire krak shots for 50 pts instead of 100).

You could add a Scout squad in the aegis and let the sergeant with BS 4 man the quad cannon. At least one scout squad would fit the fluff.

Honestly to keep it competitive, I would drop the devs down to about 6-7 man, add a quad gun make the assault squads 1 10 man and add a drop pod w/combi flamer

if you have to you can add more missle launchers to the tactical squads and have a high amount of ML.