In association with the infamous iOS hacker Pod2g, the iPhone Dev Team and the Chronic Dev Team released the untethered jailbreak utilities - Redsn0w and Corona - for all A4-powered devices running iOS 5.0.1, including the iPad (First Generation), iPod Touch 4G, iPod Touch 3G, iPhone 3GS and the iPhone 4.
The users, already running iOS 5.0.1 with tethered jailbreak, need to install a tweak called Corona 5.0.1 Untether that converts the tethered jailbreak into untethered. On the other hand, those who've just upgraded their devices to iOS 5.0.1 are required to use the latest Redsn0w 0.9.10b1 to run the untethered jailbreak.
After performing the untethered jailbreak on iOS 5.0.1 using the above-mentioned methods, users might face difficulties in terms of searching for compatible apps and tweaks in the Cydia store.
In a bid to help users in this regard, people at Cydia Blog have assembled all tweaks at one place, keeping in view about its compatibility with iOS 5.0.1. The best part about this list is that it is not static and is updated in real time. Therefore, users are suggested to check out compatibility from the list before installing any Cydia app on their devices.
In case users encounter any fully compatible tweak crashing or causing any sort of incompatibility or instability, they are asked to report to the Cydia Blog, who will contact the jailbreak developers to fix the issue.
You can also access the list here.