Running a self-managed super fund (SMSF) means thinking carefully about quality and diversification.
The best shares for a SMSF will often be businesses that can grow across many years, generate reliable cash flow, and justify a place in a long-term portfolio.
Here are three ASX shares that could be worth considering.

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Breville Group Ltd (ASX: BRG)
Breville could be an ASX share for SMSF investors to consider.
It is a global kitchen appliance business with a strong position in categories such as coffee machines, cooking appliances, food preparation, and other premium household products.
What arguably makes the company attractive for an SMSF is that it has turned everyday kitchen equipment into a brand-led global growth story. A coffee machine is not just a one-off appliance purchase. It can become part of a daily routine, especially as more households invest in better at-home food and drink experiences.
Consumer spending can move in cycles, and premium appliances may face pressure when household budgets tighten. But Breville's brand, product design, and international runway could make it a strong long-term compounder inside a patient SMSF portfolio.
Macquarie Group Ltd (ASX: MQG)
Another ASX share that could suit an SMSF is Macquarie. It operates across asset management, banking and financial services, commodities and global markets, and investment banking. That gives it exposure to a wide range of profit pools across global finance.
Its strength is adaptability. Macquarie has built a long record of finding opportunities across infrastructure, energy, commodities, markets, private capital, and specialist finance. That can make earnings more variable from year to year, but it also gives the business more ways to create value over a full cycle.
This can be attractive for SMSF investors who are thinking long term.
Wesfarmers Ltd (ASX: WES)
A third ASX share to consider is Wesfarmers. It the retail conglomerate behind a collection of strong businesses, including Bunnings, Kmart, Officeworks, Wesfarmers Chemicals, Energy and Fertilisers, Wesfarmers Industrial and Safety, and Wesfarmers Health.
This structure can be useful for an SMSF because the company is not relying on a single brand or market to generate all its returns. Bunnings gives exposure to home improvement, Kmart offers scale in value retail, Officeworks serves households and businesses, and its industrial divisions add a different earnings stream.
Wesfarmers' real skill is capital allocation. Management has consistently reshaped its portfolio, invested in stronger businesses, exited assets when needed, and returned capital when appropriate. That discipline is important in a long-term superannuation setting, where compounding depends on decisions made over many years.