It's time for our weekly roundup of brand new and notable apps for iPhone, iPod touch and iPad devices. It covers apps and games, with the prices referring to the initial download: so (Free) may mean (Freemium) in some cases.

There's a separate roundup for Android apps, which was published earlier in the day. There's also a new format this week, separating out games and non-game apps.

For now, read on for this week's iOS selection (and when you've finished, check out previous Best iPhone and iPad apps posts).

APPS

Nike+ Move (Free)

This is Nike's brand new fitness app, for the iPhone 5s only for now, since it uses that device's M7 coprocessor to track your movements. As with previous Nike+ apps, your activity is turned into "NikeFuel" points, with a daily analysis of how you've been walking, running and jiggling about (not the technical term), with Game Center integrated to see how that compares to friends.
iPhone 5S

Radio Times DiscoverTV (Free)

Just in time for Christmas – although don't go scribbling red circles on your iPad screen – this is the Radio Times' tablet app, offering TV listings, daily recommendations and a guide to shows that are available on catchup and on-demand services. It's free for a month, then costs £2.99 a month or £28.99 a year.
iPad

So Many Stars – Andy Warhol (£1.99)

This app is for children, although anyone interested in the life and works of Andy Warhol will have some fun with it. It takes Warhol's series of 'So' illustrations and makes them interactive: "making dogs grow, eating spaghetti and letting fish jump out of the water..." A playful app for the youngest art lovers.
iPad

Labscope (Free)

Labscope is the work of Carl Zeiss: an app that works with the company's microscope to turn it into "a Wi-Fi-enabled imaging system". That means taking photos and videos of samples you're squinting at under the microscope, adding annotations and sharing the pics. It's aimed mostly at schools and universities, although if you've got the kit at home, you'll enjoy this too.
iPad

Doctor Who: Sonic Screwdriver (£1.49)

If you're getting excited about the upcoming 50th anniversary show of Doctor Who, this novelty app based on the famous Sonic Screwdriver may amuse. It offers virtual versions of the gadgets from the third, fourth, tenth and eleventh Doctors, with sound effects to match. It also doubles as a mobile torch.
iPhone

Chordana Viewer (£6.99)

This is an intriguing app from Casio, which scans the music files stored on your iOS device then tries to turn them into chord charts, to help you play them on your own instrument. It's using Casio's Chordana technology, and lets musicians tweak the chords when it gets them wrong, and then play along with the moving chart.
iPhone / iPad

Caffeine Nights Books (Free)

Aiming to be "your favorite mystery bookstore in the palm of your hand", this gathers crime, thriller and horror books from British publisher Caffeine Nights, with a mixture of recommendations, sample chapters, trailers and the promise of original stories too. Authors including Shaun Hutson and Dougie Brimson provide their suggestions for reading matter.
iPhone / iPad

Matisyahu's Happy Hanukkah Jam-Along (£1.99)

Reggae/rap star Matisyahu's latest release is something of a curveball: an app for children, developed by startup Mibblio. Music remains the focus: Matisyahu's Happy Hanukkah song forms the basis for a "jam-along" app where kids can tap buttons to play virtual instruments, from piano and acoustic guitar to accordion, bongos and banjo.
iPad

Clique (Free)

A couple of years ago, a video-sharing app called Viddy was taking the mobile world by storm as 'the Instagram for video'. In 2013, Instagram is the Instagram for video, and while Viddy is still available, the startup behind it is trying some new things. Clique is the latest photo-sharing app, with the twist this time being that it's anonymous, but between friends: groups ping photos back and forth with stickers and text, without ever knowing exactly who the last one came from.
iPhone / iPad

Roman Ruins HD (£2.99)

Something more serious here: an iPad app to explore more than 350 Roman ruins from around the world: "part virtual reality, part photo book and part inspirational travel guide all rolled into one" as the App Store listing puts it. It's an engrossing app whether you're an expert in the subject matter, or simply a casual observer wondering what the Romans ever did for us.
iPad

Movember Mobile (Free)

It's that time of year when men proudly strut the land with moustaches of varying quality, in order to raise money and awareness for prostate and testicular cancer research. This is the official Movember app, offering a rogues gallery of facial fuzz, and the ability to track donations and post updates to social networks.
iPhone

GAMES

Star Wars: Tiny Death Star (Free)

This new Star Wars game is based on the equally-marvellous Tiny Tower, where you had to build a tower level-by-level, populating it with "bitizens" to work, play and rest. In this version, the tower is a Death Star, and the bitizens are characters from the films. Super-addictive, and not over-aggressive in its use of in-app purchases either.
iPhone / iPad

Lego The Lord of the Rings (£2.99)

The title will tell many people all they need to know about this game, especially if they loved Lego Star Wars. It takes bricky versions of Frodo, Gandalf and co and puts them into a whopping 1.5GB of game, with more than 90 playable characters – note, some are bought through extra in-app purchases. It looks marvellous, and plays pretty well too.
iPhone / iPad

Rayman Fiesta Run (£1.99)

Rayman often gets underrated in the history of great game characters, but his mobile games have been top-notch in recent times. This is the latest one: a colourful platformer with more than 75 levels to scoot through, and bags of charm.
iPhone / iPad

Pathogen (£1.99)

Pathogen takes its cues from boardgames, based around a virus spreading through the human body, and already scooping up a number of awards at games conferences for its inventive gameplay. Single and multiplayer modes (including online or local in the latter case) provide plenty of depth, with a level editor to prolong the fun.
iPhone / iPad

Sid Meier’s Ace Patrol: Pacific Skies (£2.99)

This second dogfighting game from industry veteran Sid Meier sees you patrolling the Pacific, re-enacting famous World War II battles. The basic action across 180 missions is really fun, but there's some extra strategy in upgrading your pilots with new skills as you go. Multiplayer is the icing on the cake.
iPhone / iPad

QuizUp (Free)

QuizUp wants to be "the largest real-time trivia game ever" with 150,000 questions in a host of categories, and global high-score tables to show exactly how your general knowledge skills compare to the rest of the world. There's a strong community angle, with in-game chat, and the option to submit your own topics and questions. 
iPhone

Burn The Lot (Free)

This game is based partly on traditional travelling carnivals (or "carnies") and partly on sci-fi space-hopping. "Stopping interstellar carnies from taking over the galaxy is your job," as the App Store listing puts it. This takes place as a dual-stick shooter across the various planets, with varied enemies and weapons providing plenty of action.
iPhone / iPad

Blocky Roads (£1.49)

This racing game looks a lot like Minecraft. A LOT. But it's good fun, as you drive one of nine cars through the four tracks, with decent handling and physics providing a bouncy ride. You might waste plenty of enjoyable time in the car editor section too, crafting your own vehicle from scratch.
iPhone / iPad

Football Heroes (Free)

Finally, football. Not football football, but American football. This takes an arcade treatment rather than a hardcore simulation, and is all the better for it as you run, pass and slam into opponents, while deploying special moves more akin to a beat 'em up along the way (as far as I know, dragon punches and rocket shoes are still banned by the NFL...)
iPhone / iPad

That's this week's selection, but what do you think? Make your own recommendations, or give your views on the apps above, by posting a comment.