Reaper is the undisputed king of soloing content that is designed to be soloed. Soloing group content is a separate question, but in terms of what you're looking for - a soloist for solo content - reaper is the best. great burst to kill targets quickly and move on. great cleave to handle large groups of enemies. low cooldowns to keep on going.
GW2. Best Open World Build. Virtuoso. Mesmer PvE. The Virtuoso is a mesmer specialization and this open world PvE build uses bleeds and the dagger skills to stock blades extremely fast to send out as many bladesongs as possible which generate more blades. It is an aggressive build that survives while dealing damage by using long range and
Sword/Pistol thief is probably the closest thing to a straight up swashbuckler, though. All of your armor will be trenchcoats, and outside of some off-theme teleports you'll have skills like "Pistol Whip" and "Black Powder Shot". Mind you, PvE Sword/Pistol is really busted, you have two skills that make you invulnerable on zero cooldown, and
Instance PvE - Guardian: You can do everything on a basic level, except stealth, superspeed and portals. But that is barely required to get the job done. sPvP - Not a big pvp player at the moment, but I heard catalyst and spellbreaker are very good right now. This can/will change very soon probably. WvW - Guardian.
You can solo bounties/HP champs with any class, I'm sure. But certainly some seem to have an easier time of it. Without having tried them all for this purpose I can't say for certain, but having done about 80% of the PoF bounties solo (including legendaries) and 100% of the HoT HP champions, Mirage is pretty well set up to do it.
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guild wars 2 best class for solo pve