Some businesses become more interesting to me when I think about where they could be several years from now.
For a holding period stretching beyond 2030, I want companies that can keep finding new customers, expand into new markets, and strengthen what already makes them successful.
These are two ASX shares I would be happy to own for that journey.

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Pro Medicus Ltd (ASX: PME)
Pro Medicus remains one of my favourite long-term ASX growth shares.
Its Visage imaging platform is used by hospitals and healthcare groups to manage increasingly large and complex medical images. As imaging volumes grow and technologies such as CT and MRI produce more data, I think fast, scalable software becomes increasingly valuable to healthcare providers.
The company also has plenty of room to keep expanding in the United States. Pro Medicus has been winning large hospital networks, and its recent contract activity shows that momentum is continuing. During the first half of FY26, it secured seven new contracts worth more than $280 million at minimum volumes.
Those wins can keep contributing for years because most US customers use Pro Medicus' transaction-based model. Revenue can then increase as examination volumes grow, giving the company another layer of organic growth after a customer has already signed up.
I am also excited by the opportunity to take Visage beyond its traditional radiology base. Cardiology is already being added to major customer contracts, while management continues developing artificial intelligence and solutions for other medical specialties. A recent Ohio State renewal, for example, expanded the relationship to include both Visage 7 Workflow and Cardiology Imaging.
I think that combination of new customers, growing usage, and a broader product offering could keep Pro Medicus growing well beyond 2030.
Breville Group Ltd (ASX: BRG)
Breville is a very different business, but I think its long-term opportunity is just as interesting.
The company has built a global premium kitchen appliance brand, with coffee becoming an especially important growth engine. I like this market because Breville can keep innovating around a category where passionate consumers are willing to spend significant amounts to improve the experience at home.
Its growth is also becoming increasingly international.
Newer markets, including Mexico, China, the Middle East, and Korea, grew by more than 50% collectively during the first half of FY26. These countries are still relatively early in Breville's expansion, which gives the company years to build brand awareness, broaden distribution, and introduce more products.
Product innovation provides another lever. New launches contributed meaningfully to growth during the half, while coffee continued to deliver double-digit revenue growth. Breville is also developing Beanz, its coffee subscription platform, which has now expanded across four countries.
I think this is what makes Breville particularly interesting over a long timeframe. It can grow by entering new countries, selling more products to existing customers, and continuing to build around the home coffee ecosystem.
Consumer spending will inevitably have stronger and weaker periods, but I believe Breville's brand, innovation, and international expansion give it plenty of room to become a much larger business.
Foolish Takeaway
Pro Medicus and Breville may operate in completely different industries, but I see a similar quality in both.
Each has already built a strong global business while still having clear avenues to expand.
That is the sort of growth story I would be comfortable holding through 2030 and well beyond.