I would recommend:

Molyneaux's The Formation of the Kingdom of the English in the Tenth Century

Dumville and Blackburn's Kings, Currency and Alliances

Roach's Æthelred the Unready

Strickland's Anglo-Norman Warfare

Baker, Brookes and Reynold's Landscapes of Defence

Baker and Brookes' Beyond the Burghal Hidage

Stafford's After Alfred

Lavelle's Alfred's Wars and The Danes in Wessex

Scragg's Edgar: King of the English

I'm sure the proper specialists in ASE like /u/BRIStoneman and/u/Steelcan909 can provide much more interesting selections than mine, but I can list some of the books on late Anglo-Saxon England/ the British Isles under the threat of the Vikings.

There have in fact kind of flood of the excellent individual/specific works on this topic in last 20-25 years, but I unfortunately see relative dearth of the good up-to-date overviews for general readers that made use of this state of research.

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• Davies, Wendy (ed.). From the Vikings to the Normans. Oxford: OUP, 2003: This concise overview includes a very good introductory section on the Viking by Barbara E. Crawford. While most of the works on the Vikings in the British Isles only cover either of the 1st Viking Age (9th century) or the 2nd (Late) Viking Age (11th century), her article, though very brief, focus on both periods of the Viking invasion.
• Lavelle, Ryan. Alfred's Wars: Sources and Interpretations of Anglo-Saxon Warfare in the Viking Age. Woodbridge: Boydell, 2010: If you are interesting in how the Anglo-Saxon ruler [Alfred the Great of Wessex] mobilized his resources against the Vikings, this detailed book is well worth checking in for you.
• Foot, Sarah. Athelstan: The First King of England. New Haven: Yale UP, 2012: Arthelstan conquered York, won the battle of Brunanburh in 937 (i.e. defeated Viking s and other polities in Northern Britain), and called himself as 'the king (ruler) of all of Britain' at the first time. Thus, his reign should be regarded as a real turning point for the political tides of the kingdom of Wessex-England as well as the whole British Isles. Alternatively, if you are not so familiar with him, the very short introductory Penguin biography by Tom Holland (Holland, Tom, Aethelstan: The Making of England, Harmondsworth: Penguin, 2016) is also available.
• Roach, Levi. Aethelred the Unready. New Haven: Yale UP, 2016: There are some biography of Aethelred, and this latest and detailed one skillfully illustrates the political as well as social disturbance under his reign in the beginning of the 11th century. Surprisingly enough (?), this book also includes very good information on the whereabouts of a famous Viking leader, Thorkell the Tall in England.
• Fletcher, Richard. Bloodfeud: Murder and Revenge in Anglo-Saxon England. Harmondsworth: Penguin, 2002: Though not specialized in Anglo-Saxon England, the author offers an interesting account of the incessant power competition among the local magnates in the 11th century Northern England.