The phrase "achieve a bit" is correct and usable in written English.
It can be used when referring to accomplishing a small amount or degree of something.
Example: "With consistent effort, I hope to achieve a bit more progress on my project by the end of the week."
Alternatives: "make some progress" or "accomplish a little".
You have to achieve a bit more for people to give you their vote".
At the end of his note, he promises to "achieve a bit more work-life balance".
Women tend to fare better than men, sort of; or maybe it's just that they achieve a bit more awareness.
If we can just achieve a bit wider notice, the battle for Europe is as good as won.
Finally, partner idealization may help people feel that they did achieve a bit of the heaven so many of us seek– that is, to find one's soul mate, even if that soul does not necessarily have a golden aura about them.
You can only hope that the game's publisher, Electronic Arts, makes up for not spending a few million dollars more on initial development by releasing an extensive downloadable add-on that allows the game to achieve a bit more of its considerable potential.
He might just have achieved a bit more greatness, but it was always his choice.
He also achieved a bit of notoriety for spinning the puck on his stick during a failed penalty shot attempt against Tuukka Rask.
The band achieved a bit of notice in 1998 when its cover of the Dead's "Sugar Magnolia" appeared in the 1999 Julia Roberts film "Runaway Bride".
Concentrations of 2−3 nm neutral particles and ions decreased by approximately the same factor, and their concentration minima were achieved a bit later than those of smaller particles.
The threat in Darfur is that the violence will soon jeopardise the continuation of humanitarian support for the refugees and destabilise a region that had only recently achieved a bit of equilibrium, if not exactly peace.
