You can find the memorial stone to the Battle which was placed there in 1998 on the east bank of the River Medway down Old Church Lane at Burham.
You can go down to Richborough Castle and see where the springboard from the invasion might have been. If you are feeling in the mood for all things Roman then why not go to Canterbury Roman Museum which is a corker.
If you are intrigued by this topic and want to read more then have a gander at some of the works I used to read up about it.
Modern explorations of the topic
SPQR A History of Ancient Rome by Mary Beard
The Bredgar Treasure of Roman Coins by R. A. G. Carson from The Numismatic Chronicle and Journal of the Royal Numismatic Society, 1959, Vol. 19 (1959)
Roman Britain by Stephen Hill and Stanley Ireland
An Imperial Possession: Britain in the Roman Empire, 54 BC - AD 409 by David Mattingly
Roman Britain by TW Potter
Roman Britain by Peter Salway
Ancient Sources on the time period and Battle
The Geography of Strabo by Strabo Book IV Chapter 5
The Twelve Caesars by Suetonius
Agricola by Tacitus if you want to know what happened next and you were like man I wish there was any Boudicca in this video.
Journal articles where people argue about where the Battle was and generally throw shade at other historians
Sentius Saturninus and the Roman Invasion of Britain byE. W. Black, Britannia , 2000, Vol. 31
The Events of A.D. 43: Further Reflections by David Bird from Britannia , 2002, Vol. 33
The Battle of the Medway AD 43 by A.R Burn from History June 1953
The Roman Invasion of AD 43 by Sheppard Frere and Michael Fulford from Britannia , 2001, Vol. 32
The Invasion of Britain in A. D. 43 - An Alternative Strategy for Aulus Plautius by J. G. F. Hind from Britannia , 1989, Vol. 20.
A. Plautius' Campaign in Britain: An Alternative Reading of the Narrative in Cassius Dio by J. G. F. Hind from Britannia , 2007, Vol. 38.
'The Battle of the Medway' by Lord Raglan and A. R. Burn taken from History, Vol. 38, No. 134