My vote is for Psychic Warrior. While a straight Fighter has a better BAB and slightly better hit points, I think the PsyWar can make up the difference.
- 2/3 BAB.
- Knows all martial and all simple weapons.
- almost as many Feats as a Fighter.
- gains specialization like a Fighter, albeit with only 1 weapon, but it's free.
- access to Psionic Feats like Fell Shot (for 5 PP can turn a ranged attack into a touch attack) and Psionic Shot (for 1 PP can "charge" ammunition to do an extra 1d4 non-elemental damage), Return Shot (pluck hurled/fired weapons from the air and return them as a free action or a MEA... with Deflect Arrows, this is just sick as it adds your BAB to your foe's BAB to determine if your returned shot hits), and various mobility Psionic Feats, like Speed of Thought, Mental Leap, and Up the Walls, all of which would make a sniper amazingly dangerous for hit-and-run tactics.
- access to Powers like Call Weaponry (summon weapons from the planes, eventually up to +4), Bolt (create projectiles for a short time), Metaphysical Weapon (just like Greater Magic Weapon but a flat +3) on your bows and arrows, Greater Metaphysical Weapon (using the online updates to the PsiHB at a flat +5).
- access to buff Powers for both Defense (Displacement, Vigor, Verve) and enhanced Movement (Dimension Door, Burst) and missile combat (Animal Affinity).
- as a Manifester, access to item creation feats, specifically Craft Psionic Arms & Armor to make custom magic weapons, or Craft Universal Items to make other augmentation devices.
If one takes a PsyWar and a few cross class skills, a Soulknife is an easy multiclass. With Far Shot and upgrade weapon, their ranged mindblade is doing 1d8+5 at a range increment of 60'. It won't compete at long range against a STR bow, but the damage is amazing for a zero PP expenditure. Like the Arcane Archer, the Soulknife can imbue his hurled (or melee!) mindblade with Powers.
I also think Clerics come close to the efficacy as archers as a Psychic Warrior, but only truly lack in the Feat department. Unless they're elves or have War as a domain with a bow, they have to burn their first Feat to become proficient with the efficient missile weapons (long bows, etc), or take a level of Fighter/Paladin/Barbarian/Ranger/etc and hurt their spellcaster levels.
Hope that helps,
Greg