You will also find, at 11 ul Lenina, the Museum of the Black Sea Fleet. It is open Wednesday to Sunday and closed for cleaning on the last Friday of every month; there is a small exhibition of Russian and Soviet weapons outside the building. A couple of doors further down ul. Lenina is the Church of the Black Sea Fleet.
In the Park Panorama sits the famous Diorama museum dedicated to the Crimean War. It features a massive diorama depicting the siege of Sevastopol by the British and French Allies. The museum was heavily bombed during WWII and meticulously restored in the 1950's. Admission is 25UAH for adults. Occasionally they offer English tours, but there is signage in English.
Ride the ferry boats crossing the bay. Common routes include those to a number of locations on the north side of town, where the best white sand beach and small airfield are. Locals use these north/south ferries to commute to and from work. Price of the ferries is only 2.5UAH ~$US.70 and they travel all over the city and it is a good way to get photos of the various landmarks.
In the summer, there are numerous tented beer bars on the waterfront. It's great for watching the ships entering the bay and the beautiful and skinny scantily clad Ukrainian and Russian girls prance the boulevard in their high heels.
Please note, that Sevastopol was a closed city during the Soviet period. Residents, as in other ethnic Russian areas, are not impressed with foreigners who have no appreciation or understanding of their language and culture. Probably fewer than 20 percent of the locals have a working knowledge of English and only about ten percent of those CARE to speak English with foreigners who assume that English is widely understood in former Soviet republics. If, on the other hand, you have bothered to master a basic understanding of Russian and show a little humility, Sevastopol locals, like Russians elsewhere, will often go out of their way to communicate with you, most often by adapting their speech as if they were speaking to a five year old or whatever your level is.
Sevastopol, like most any ethnic Russian town, is a challenge, but certainly worth the attempt for all interested in its unique charm and war history.
Renting a car is a great way to experience Crimea without dealing with the often late and uncomfortable public transportation. Car rental is possible at many places, but the cheapest appears to be at Number 43 Proletariarskaya ulitsa at the southern end of the city. For 200 UAH per day 250km included and a refundable 200 USD deposit, it is fairly easy to rent a car and enjoy the southern coast this way.