Here's the list of important on page stuff:
1. Unique title and meta description
2. Content: well-written, unique, keyword-optimized
3. Links to other pages of the website and links from your website leading to this page (the latter is particularly important for new pages - links from already indexed pages will speed up indexation).
4. No problems like broken links, validation code errors, 404 and other server response code errors.

Save time and check out if your pages are perfectly optimized with WebSite Auditor.

I'm not sure there is such a thing as a "perfectly optimised page" it depends If your optimising for users/engines, traffic/comversion, how many keywords you target, what search engines you target, and what look and feel your brand/website needs. The design is also a matter of opinion.

Aside from this and other factors engines will never tell you what their algorithms are and they are constantly changing so even if you did get a "perfectly optimised" page it would not be "perfect" for long.

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Good points from both Linkassistant and nicktyler.

If I were to choose one thing then I would suggest content of such high value that it is worth linking too and sharing by others. Adding social plugins such as share buttons for Twitter, Facebook, Linkedin, and Google+ help the page gain the exposure which it needs to gain further credibility.

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Optimization means improvement not perfection. As an SEO I optimize the current website but it can't be perfect because we might say it perfect but Google may rank it lower.

If you optimize all your on page elements than there are good chances that your website my rank higher. You can go for Title tag optimization, anchor tag optimization, content optimization and image optimization etc.

A few factors that I look for in a perfectly optimized page,
- Good quality content
- Properly optimized tags
- Header tags
- Anchor text
- No broken links
- Perfectly optimized images and videos
- Userfriendly layout
- Good internal linking structure

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