OXO Tower

The largest open space in London, covering almost 1,000 hectares (2,500 acres) and home to a huge array of wildlife, including 400 wild deer. Also contains the lush Isabella Plantation, which is full of trees and flowers, and the Royal Ballet School, seen in the film Billy Elliot. Popular with cyclists, both for the on-road perimeter circuit and the off-road trails. There are several car parks for walkers and picnickers.

The great domed cathedral of St Paul's, designed by Sir Christopher Wren to replace the Gothic medieval cathedral destroyed in 1666 in the Great Fire of London, was built between 1675–1710. Of the most famous London sights, St Paul's is the one most conveniently located for the Barbican. It's a significant building in British history, having been the site of the funerals of several British military leaders (Nelson, Wellington, Churchill), and significantly held peace services marking the end of the two world wars. The cathedral is also famous for its Whispering Wall, as well as its stunning view over the city. The crypt is also open to the public, holding the tombs of Nelson, Wellington and Christopher Wren. It is possible to sidestep the admission charge by entering for one of the midday services, even if you don't take part, or for the daily choral evensong in the late afternoon. However, you'd still need a ticket to get to the top. Photography is not allowed.

The London Mithraeum is a 3rd century Roman mithraeum that was discovered in Walbrook during construction work in 1954. The entire site was relocated several times before being returned to its original site as part of the new Bloomberg building. This temple of the mystery god Mithras became perhaps the most famous 20th-century Roman discovery in London. In addition to the temple structure, there is a display of Roman artefacts found on the site and a contemporary art exhibit responding to the site. Visitor numbers are limited and timed slots are often fully booked up several weeks into the future so plan well ahead.

Designed by one of Britain's leading architects, Sir Norman Foster, this curved glass skyscraper was the 2004 recipient of the Stirling Architectural Prize for Best Building. It was built on the site of the Baltic Exchange building, destroyed in 1992 by an IRA bomb which killed three. On the Bury Street side of the Gherkin by some black stone benches is the Tomb of the Unknown Girl for a teenaged Londoner who died 1,600 years ago (see infobox above), marked with a marble laurel wreath and inscription. Searcy's Restaurant (from £50) at the top takes bookings up to five weeks in advance and you have to go through security before going up.

Prestigious contemporary art gallery worth a visit.

The remains of the once-magnificent palace, home to English kings since Edward I, adjoin Richmond Green, a pleasant open green space and historic cricket ground. Only the Gate House and Wardrobe, now converted into flats, remain.

The ruins of a church dating back to Saxon times, rebuilt by St Dunstan in 950, destroyed in the Great Fire of London, and then rebuilt by Sir Christopher Wren in 1697. Most of the church was destroyed during the blitz, leaving only the tower (dating from Wren's time) and hollowed-out walls (from an 1817 reconstruction). The ruins are now overgrown with picturesque vines and trees, and were converted into a public garden in 1967, complete with benches.

The second largest of the London Royal Parks, covering an area of 450 hectares (1,099 acres). Lying north of Hampton Court Palace, the history of the park is inextricably linked to the palace, yet it has always had its own distinct rural character. There are herds of both Red Deer and Fallow Deer, they are wild but usually safe, just don't go too close or get between a hind and its calf. The D-Day linked bits are easiest found from the Teddington side. Go through SHAEF gate and there is an information board. You should be able to spot a flagpole a hundred yards into the park, this marks the spot where General Eisenhower had his office, if you have time, or children who are up for a challenge, there are bronze markers with combined British and Canadian and US flags at the corners where the main buildings of Camp Griffiss were. The partially restored early 18th-century baroque water gardens are a short walk from the Hampton Hill gate. The park is subdivided by Chestnut Avenue, Christopher Wren's grand approach to Hampton Court Palace which runs from Teddington Gate to Hampton Court Gate and with the gilded Diana fountain closer to the Palace end (you may have seen it as location for the finish line of some of the cycling events at the 2012 Olympics).

A lovely park on the southern banks of the Thames known or its wildlife and some splendid examples of mature trees.

This venerable old institution was absorbed by the neighbouring Natural History Museum in 1985 but still has something of a separate identity. Unsurprisingly, devoted to all things geological with especially popular exhibits on vulcanology and earthquakes and fossils of all types. Very popular with kids and often underrated.

Founded in 1123, by jester-turned-monk Rahere, this Norman church is one of the oldest in London. It was damaged in the Dissolution but managed to escape both the Great Fire and the Blitz. This is a Grade I listed building. Tourists are welcome when services are not in progress and are charged an admission fee (which does not apply to those coming to pray or use the café).

Site of the London residences for the Prime Minister (No. 10) and the Chancellor (No. 11).

This enormous arch was built in front of Buckingham Palace. In 1851 the expansion of the palace meant the arch could no longer remain where it was, so it was moved to this point on Hyde Park. It now stands rather sadly on a large traffic island, but the subway beneath the roads means you can stop off at the Marble Arch on your way from Oxford St to Hyde Park.

In many cities a local transport museum would be of very narrow interest - not London, however! London's public transport is iconic, and the story of how it developed from horse and cart through early buses, Tube trains and trolleybuses to the present day is well worth coming to find out about. There is plenty of opportunity to clamber aboard the historic buses and Tube trains on display. Also, because London's transport is so well known, the museum shop contains plenty of items that make interesting and original gifts and souvenirs.