I think June could be a good month to look again at high-quality ASX 200 shares.
The three blue-chip shares in this article are very different businesses, but I think each has the scale, market position, and long-term opportunity to be worth buying this month.
Here's why I like them.

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Sigma Healthcare Ltd (ASX: SIG)
Sigma Healthcare is one ASX 200 share I think is a great buy and hold option.
It is a large pharmacy, health, beauty, and wellness business with the Chemist Warehouse brand at its centre. That gives Sigma exposure to categories that customers come back to regularly, from medicines and prescriptions to vitamins, skincare, personal care, and everyday health products.
I like that because it is not just a one-off retail story.
A strong pharmacy retail network can benefit from repeat visits, trusted brands, scale buying, customer data, and a wide product range. In a cost-conscious environment, Chemist Warehouse also has a clear value proposition that can appeal to shoppers who still want health and wellness products but are watching their budgets.
There are still things to watch. The business needs to keep executing well across retail, distribution, stores, systems, and supplier relationships. But I think Sigma now has a much larger platform to build from than it did a few years ago.
For investors looking at June, I think this is one of the more interesting blue-chip growth stories on the ASX.
Wesfarmers Ltd (ASX: WES)
Wesfarmers is another ASX 200 share I would be happy to buy in June.
The reason I like this business is not just the individual brands it owns. It is the way the group has built a culture around returns, discipline, and constant improvement.
Wesfarmers has a long history of buying, building, improving, and sometimes exiting businesses when the numbers no longer make sense. That gives it a different feel to a normal retailer. It is more like a long-term owner of consumer and industrial assets, with management constantly looking for ways to lift returns.
I also think the company's customer reach is becoming more valuable. Across its retail brands, Wesfarmers has a huge amount of customer interaction, store traffic, online engagement, and loyalty data. Over time, that could help the group make better decisions on pricing, product ranges, inventory, digital investment, and customer retention.
For me, it is a business that can keep finding ways to get a little better each year. That is exactly the type of blue-chip ASX 200 share I would want to buy in June.
Qantas Airways Ltd (ASX: QAN)
Qantas is the third ASX 200 blue-chip share I would buy in June.
Airlines can be difficult investments. Fuel prices, competition, labour costs, aircraft delays, economic conditions, and travel demand can all affect earnings.
But I think Qantas has a stronger position than many investors give it credit for.
The group has two powerful airline brands in Qantas and Jetstar. That allows it to serve different parts of the travel market, from premium and corporate passengers to more value-focused leisure travellers.
I also think the loyalty business remains a major asset. Frequent Flyer points, partnerships, financial products, retail offers, and customer engagement give Qantas a valuable earnings stream that is not only tied to selling seats.
Fleet renewal could also help over time. New aircraft can improve efficiency, network flexibility, and customer experience, which may support the business beyond the next travel cycle.
There are risks to consider, and I would never treat an airline as a defensive share. But with Qantas trading on a reasonable valuation and dividends returning, I think the stock offers a compelling mix of value, income potential, and long-term brand strength.
Foolish takeaway
I think the best blue-chip ASX 200 shares are the ones that can keep finding ways to become more valuable.
That does not always mean smooth earnings or a cheap-looking valuation. Sometimes it means owning businesses with scale, strong brands, customer loyalty, and the ability to adapt as conditions change.
That is what interests me about these three ASX 200 shares. They each have a different route to growth, but all three have the kind of staying power I would want when buying in June.