For a long investment holding period, I would look for ASX shares that can keep finding new ways to grow as the world around them changes.
The three shares below have opportunities that I believe could stretch well into the next decade and beyond.

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Pro Medicus Ltd (ASX: PME)
Pro Medicus would be one of my first choices. Its Visage platform has already won over some of the largest healthcare organisations in the United States, yet I think there is still a long way for the business to expand.
One reason is the size of the customers it is now attracting. Large integrated healthcare networks can contain numerous hospitals and thousands of clinicians, giving Pro Medicus an opportunity to become deeply embedded across an organisation once Visage is selected.
There is also more for Pro Medicus to sell. Visage started with radiology, but newer contracts are increasingly taking a broader combination of Viewer, Workflow, and Open Archive. Cardiology is opening another market, while artificial intelligence could eventually add further capabilities to the platform.
I think this ASX share could spend many years winning more hospitals while becoming increasingly important to the customers it already has.
TechnologyOne Ltd (ASX: TNE)
TechnologyOne is another ASX growth share I would happily own for the long term.
Its enterprise software sits at the heart of organisations such as councils, universities, and government departments. These customers use TechnologyOne to manage important areas including finance, payroll, property, and student administration.
The company is also finding considerable growth outside Australia.
The United Kingdom has become an increasingly important market, giving TechnologyOne another large pool of organisations to pursue with software originally developed and proven in Australia. Its recurring revenue continued to grow strongly in the first half of FY26, with management highlighting particularly strong momentum in the UK.
Artificial intelligence adds another opportunity for the company, in my opinion. TechnologyOne's new Plus product is designed to go beyond answering questions and actually perform tasks for customers inside its software.
I think that could make the platform even harder to replace as more work becomes automated.
Goodman Group (ASX: GMG)
Goodman is my final pick, and its business is changing in a way I find particularly interesting.
The ASX growth share has spent decades developing logistics properties in major global cities. That experience in securing scarce land and infrastructure is now helping it pursue the enormous demand for data centres.
For me, power is the key part of this opportunity. Goodman's global data centre power bank has reached 6.4 gigawatts, including 3.6 gigawatts where power has already been secured.
Goodman has sites across major international cities where land, power, and connectivity can be difficult to secure. I think that puts it in an excellent position as hyperscalers and other technology companies look for places to expand.
It also has its established logistics portfolio and investment management operations alongside this emerging data centre opportunity.
Foolish Takeaway
The businesses I want to own for decades are those that still have somewhere meaningful to go.
I would be happy to buy all three of these ASX growth shares with a very long-term mindset.