The phrase "aims beyond" is correct and usable in written English.
It can be used when discussing goals or objectives that extend past the immediate or obvious targets.
Example: "The organization's mission aims beyond mere profit, focusing instead on social impact and sustainability."
Alternatives: "targets further" or "strives for more".
He's in his element, and at the moment the batsmen have no aims beyond survival.
Clegg used his speech to try and move the debate about the coalition's achievements and aims beyond the plans to cut the budget deficit.
It's definitely nostalgic, but participation actively aims beyond simple "remember this?" memes – the goal is to discuss and define, through aesthetics, a sense of the values of the time.
Apparently seeking to exploit western unease about long-standing policy aims beyond Ukraine, Putin reportedly told Obama that Moscow also wanted guarantees about the future of the Russian-backed separatist territory of Transnistria in Moldova, on Ukraine's south-west border.
Its aims (beyond the obvious commercial ones) are comparatively modest: to celebrate the joy that can come out of creative freedom and, by extension, to reassert the individual's place within a larger social framework.
Boko Haram rarely states its aims beyond calling for a stricter imposition of the already existing, loosely-applied Shariah law in Nigeria's northern states, and suggesting a rollback in democratic institutions.
And I want that taste of different cultures, diversity, colours… therefore I think my aim is beyond Latvia.
Scientists are aiming beyond food allergies, too.
He must always aim beyond the limits of tolerance.
But Royal has aimed beyond bobblehead popes of questionable taste.
"Everything was aimed beyond life at school: they could see why functional skills could be relevant.
