Here's an ideal itinerary for 5 days in Alicante:

Day 1: Arrival and Beach Time

• Arrive in Alicante and check into your hotel
• Head to the beach! Alicante has several beautiful beaches to choose from, including Playa del Postiguet and Playa de San Juan. Spend the day soaking up the sun, swimming in the Mediterranean Sea, and enjoying the beachside cafes and restaurants.

Day 2: Explore the Old Town

• Start your day with a visit to the Santa Barbara Castle, which offers stunning views of the city and the sea.
• Wander through the charming streets of the Old Town, admiring the colorful buildings and historic architecture.
• Visit the Basilica of Santa Maria, a beautiful Gothic church that dates back to the 14th century.
• Stop for lunch at one of the many tapas bars in the area, such as La Taberna del Gourmet or El Portal Taberna & Wines.
• In the afternoon, visit the Museum of Contemporary Art of Alicante (MACA) to see works by local and international artists.

Day 3: Day Trip to Elche

• Take a day trip to the nearby town of Elche, known for its beautiful palm groves and historic sites.
• Visit the Palmeral of Elche, a UNESCO World Heritage Site that features over 200,000 palm trees.
• Explore the Elche Archaeological Museum, which houses artifacts from the town's rich history.
• Visit the Basilica of Santa Maria, which features a stunning blue dome and beautiful stained glass windows.
• Stop for lunch at one of the many restaurants in Elche's historic center, such as La Finca or La Taula.

Day 4: Wine Tasting in the Countryside

• Take a tour of the nearby wine region of Alicante, which produces some of Spain's best wines.
• Visit a local winery, such as Bodegas Enrique Mendoza or Bodegas Volver, to learn about the winemaking process and sample some of the region's best wines.
• Enjoy a traditional Spanish lunch at the winery, featuring local specialties such as paella and grilled meats.
• In the afternoon, take a leisurely stroll through the vineyards and enjoy the beautiful countryside scenery.

Day 5: Relax and Departure

• Spend your last day in Alicante relaxing and enjoying the city at your own pace.
• Visit the Explanada de España, a beautiful promenade lined with palm trees and colorful mosaics.
• Stop for a coffee or a glass of wine at one of the many cafes along the promenade.
• Visit the Mercado Central, a bustling market where you can find fresh produce, seafood, and local specialties.
• Depart Alicante feeling relaxed and rejuvenated after a wonderful 5-day trip!