I'm using SharePlus to access Sharepoint 2007, 2010 and BPOS from my iPad. The best alternative IMHO. Pro version allows read/write, offline content, support for every standard content type plus more.

Check it out!

http://itunes.apple.com/es/app/shareplus-office-mobile-client/id364895421?mt=8 

A great alternative to the options above is using Mobile Entrée. Mobile Entrée enables rich access to SharePoint from iPhones, iPads, Windows Phones, BlackBerry, Androids and Nokia Smartphones - as well as the current and upcoming generation of tablet devices. Mobile Entrée integrates seamlessly into your SharePoint Infrastructure. It provides a platform that gives rich access to SharePoint Data, Collaboration, Workflow/Business Processes, Businesses Intelligence and more with turnkey, out of the box mobile Applications. These are browser based so no APP has to be downloaded and managed on the device. Equally important, Mobile Entrée extends SharePoint into a  MEAP (Mobile Enterprise Application Platform) providing a rich API to build your own mobile applications  without any need to program for the different devices. Mobile Entrée provides a familiar and efficient platform for developers, IT staff and end users to access SharePoint data from any SmartPhone. For more information please visit www.mobileentree.com 

I am an Enterprise Architect on Treasury.gov. We used SharePoint 2010 to build an Internet Facing (completely customized) site. We ran across issues on the IPad. The main issue was that you can't scroll on the IPad because of how SharePoint uses the s4-workspace overflow to do it's scrolling. Your options were not valid for our situation because when you build an Internet facing site you don't want your users to have a different experience or even know that you are using SharePoint.
We found a fix for the scrolling issue that is working for us. We basically had to override the SharePoint behavior that does the scroll in s4-workspace and re-do the ribbon behavior for our content editors.
Our solution can be found on my blog: http://www.greggalipeau.com/2011/01/28/a-better-enhanced-sharepoint-2010-floating-ribbon/
I would love to talk with some at Microsoft on how to get this into the product because without this SharePoint cannot be considered an Internet facing alternative to web site content management. And, people shouldn't have to come up with workarounds like this just to use the product this way.

Anyways, to summarize. Treasury.gov is SharePoint 2010 and it looks exactly the same on the IPad as it does on Internet Explorer, Firefox or any other browser.

Until mobile Safari supports contenteditable area, I decided to use the Telerik html editor for SharePoint 2010 content authoring. They have SP 2010 demo site here: http://sharepoint.telerik.com/aspnet-ajax/web-parts/Pages/default.aspx and when you replace the default SP 2010 editor with theirs, you can produce content on iOS as it defaults to textbox.

Telerik also have some mobile devices enhancements listed in their docs: http://www.telerik.com/help/aspnet-ajax/radcontrols-mobile-support.html

Thanks for this useful info. I have no doubt in this topic. All the points you coveren are useful and informative. Thank for Sharing this info with us.

http://gloriatech.com/microsoft-sharepoint-services.aspx

Check Filamente - SharePoint Client for iPad & iPhone.

http://tinyurl.com/Filamente (Full version). http://tinyurl.com/FilamenteLite (Free version).

The real unfortunate part of all this is the inability to EDIT documents in SharePoint from an iPad.
You have to combine tools.  Use Filamente to access SharePoint, open a document in DocsToGo, Save document in local folder, send document to Filamente, upload doc to SharePoint.
VERY annoying.  Especially when MS has Office Web Apps.  But they don't work in mobile browsers.

I know that it is not compatible with Safari running on Mac OSX as stated in the Technet article: "Plan browser support (SharePoint Server 2010)"...

Any insight on this topic would be appreciated.

Atidan recently released SharePoint DocExplore for iPhone, iPod touch and iPad users. This is a newly launched application that makes it very fast and easy for SharePoint users to find their files and documents. DocExplore focuses only on documents, providing collapsed and expanded file views, as well as site and sub site searches with filters. The app supports several formats, can open a document full screen and allows login retention across multiple sites.

The app bears a clean, intuitive interface that recognizes user gestures, while providing innovative browse and search functions for locating specific documents in Microsoft SharePoint libraries. Inside SharePoint DocExplore, users are able to view their folders and files in a collapsible and hierarchical tree, including all sub sites. Filters can be used to further help find a very specific document in just seconds. Users are able to open a document full screen for reading and can email documents as attachments.

Some important links -
• http://itunes.apple.com/us/app/sharepoint-docexplore-for/id477205452?mt=8
• Images – contains all key images for viewing/downloading -www.photobucket.com/sharepointdocexplore
• Video – video showing how Sharepoint DocExplore works http://www.youtube.com/watch?v=xGjG7bMOWCg

A must have for SharePoint users on iPad/iPhone !!

We've been using Colligo products for years, and their new Colligo Briefcase app for secure SharePoint access is really the best product available. The enterprise security features built-in really make it stand head and shoulders above the other apps out there. This is a product built for the enterprise and we certainly wouldn't trust our sensitive information to the much less secure alternatives.